\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  31.0 & -8.00 x_{1} & +  2.00 x_{2} & -9.00 x_{3} & +  6.00 x_{4} & +  5.00 x_{5} & -1.00 x_{6} & +  5.00 x_{7} & + 10.00 x_{8} & +  9.00 x_{9} & -10.00 x_{10} & -6.00 x_{11} & + 10.00 x_{12} & -1.00 x_{13} & -9.00 x_{14} & -9.00 x_{15}\\
 x_{17}   &  -58.0 & -8.00 x_{1} &   & +  8.00 x_{3} & +  5.00 x_{4} & + 10.00 x_{5} & -9.00 x_{6} & +  8.00 x_{7} & +  9.00 x_{8} & +  8.00 x_{9} & +  5.00 x_{10} & -2.00 x_{11} & -5.00 x_{12} & +  6.00 x_{13} & +  1.00 x_{14} & +  1.00 x_{15}\\
 x_{18}   &  14.0 & -5.00 x_{1} & -3.00 x_{2} & +  1.00 x_{3} & +  7.00 x_{4} & +  2.00 x_{5} & +  9.00 x_{6} & -4.00 x_{7} &   & -9.00 x_{9} & -9.00 x_{10} & +  8.00 x_{11} & -2.00 x_{12} &   & + 10.00 x_{14} & -10.00 x_{15}\\
 x_{19}   &  61.0 & -6.00 x_{1} & +  8.00 x_{2} & +  2.00 x_{3} & -10.00 x_{4} & +  9.00 x_{5} & -10.00 x_{6} & -3.00 x_{7} & +  1.00 x_{8} & +  2.00 x_{9} & +  5.00 x_{10} & +  1.00 x_{11} & + 10.00 x_{12} & -9.00 x_{13} & -3.00 x_{14} & -5.00 x_{15}\\
 x_{20}   &  39.0 & -5.00 x_{1} & -10.00 x_{2} & -2.00 x_{3} & -8.00 x_{4} & +  3.00 x_{5} & +  7.00 x_{6} & -4.00 x_{7} & -9.00 x_{8} & +  3.00 x_{9} & -2.00 x_{10} & +  1.00 x_{11} & -9.00 x_{12} &   & +  1.00 x_{14} & -10.00 x_{15}\\
 x_{21}   &  37.0 & -8.00 x_{1} & -8.00 x_{2} & -7.00 x_{3} & -6.00 x_{4} &   & +  1.00 x_{6} & + 10.00 x_{7} & -10.00 x_{8} & -1.00 x_{9} & +  4.00 x_{10} & -9.00 x_{11} & +  7.00 x_{12} & -6.00 x_{13} & -6.00 x_{14} & +  9.00 x_{15}\\
 x_{22}   &  17.0 & -6.00 x_{1} & +  3.00 x_{2} & +  8.00 x_{3} & +  3.00 x_{4} & -10.00 x_{5} & -7.00 x_{6} & -2.00 x_{7} & -3.00 x_{8} & +  5.00 x_{9} & +  3.00 x_{10} & +  3.00 x_{11} & -9.00 x_{12} & -4.00 x_{13} & -4.00 x_{14} & +  7.00 x_{15}\\
 x_{23}   &  -11.0 & -7.00 x_{1} & +  1.00 x_{2} & +  7.00 x_{3} & +  1.00 x_{4} & +  7.00 x_{5} & +  4.00 x_{6} & -6.00 x_{7} & +  3.00 x_{8} & +  3.00 x_{9} & +  6.00 x_{10} &   & -7.00 x_{12} & -9.00 x_{13} & -3.00 x_{14} & -6.00 x_{15}\\
 x_{24}   &  17.0 & + 10.00 x_{1} & +  8.00 x_{2} & +  2.00 x_{3} &    &   & +  8.00 x_{6} & +  2.00 x_{7} & -3.00 x_{8} & -5.00 x_{9} & -6.00 x_{10} & +  6.00 x_{11} & -9.00 x_{12} & -7.00 x_{13} & +  5.00 x_{14} & -5.00 x_{15}\\
 x_{25}   &  91.0 & +  9.00 x_{1} & +  5.00 x_{2} & -8.00 x_{3} & -3.00 x_{4} & -10.00 x_{5} & -4.00 x_{6} & -8.00 x_{7} & -5.00 x_{8} & -9.00 x_{9} & +  5.00 x_{10} & -8.00 x_{11} & -3.00 x_{12} & -2.00 x_{13} & +  4.00 x_{14} & +  5.00 x_{15}\\
 x_{26}   &  52.0 & -4.00 x_{1} & +  3.00 x_{2} & -4.00 x_{3} & +  6.00 x_{4} & +  3.00 x_{5} & -3.00 x_{6} & +  9.00 x_{7} & -10.00 x_{8} & -1.00 x_{9} & -9.00 x_{10} & -4.00 x_{11} & -10.00 x_{12} & -10.00 x_{13} & +  5.00 x_{14} & -4.00 x_{15}\\
 x_{27}   &  78.0 & +  4.00 x_{1} & -9.00 x_{2} & +  2.00 x_{3} & -9.00 x_{4} & -4.00 x_{5} & +  5.00 x_{6} & -8.00 x_{7} & -5.00 x_{8} & +  3.00 x_{9} & -3.00 x_{10} & +  2.00 x_{11} & +  4.00 x_{12} & -3.00 x_{13} & -8.00 x_{14} & -8.00 x_{15}\\
 x_{28}   &  -6.0 & -6.00 x_{1} & -6.00 x_{2} & +  3.00 x_{3} & +  4.00 x_{4} & -3.00 x_{5} & -9.00 x_{6} & +  3.00 x_{7} & +  1.00 x_{8} & +  1.00 x_{9} & +  9.00 x_{10} & -2.00 x_{11} & -1.00 x_{12} & -2.00 x_{13} & +  5.00 x_{14} & +  3.00 x_{15}\\
 x_{29}   &  5.0 & +  7.00 x_{1} & -4.00 x_{2} & -2.00 x_{3} & -9.00 x_{4} & -7.00 x_{5} & +  8.00 x_{6} & +  7.00 x_{7} & -2.00 x_{8} & +  7.00 x_{9} & -8.00 x_{10} & +  3.00 x_{11} & +  4.00 x_{12} & +  1.00 x_{13} &   & +  3.00 x_{15}\\
 x_{30}   &  18.0 & -4.00 x_{1} & -10.00 x_{2} & +  8.00 x_{3} &   & +  2.00 x_{5} & -4.00 x_{6} & +  5.00 x_{7} & -4.00 x_{8} & -5.00 x_{9} & -7.00 x_{10} & +  2.00 x_{11} & -4.00 x_{12} & -2.00 x_{13} &   & +  2.00 x_{15}\\
 x_{31}   &  -3.0 & +  5.00 x_{1} & -8.00 x_{2} & +  3.00 x_{3} & +  2.00 x_{4} & -9.00 x_{5} & -4.00 x_{6} & +  7.00 x_{7} & + 10.00 x_{8} & -2.00 x_{9} & +  6.00 x_{10} & +  3.00 x_{11} &   & +  4.00 x_{13} & +  4.00 x_{14} & +  4.00 x_{15}\\
 x_{32}   &  -30.0 & +  7.00 x_{1} & -10.00 x_{2} & +  4.00 x_{3} & +  2.00 x_{4} & -5.00 x_{5} & +  3.00 x_{6} & -10.00 x_{7} & +  6.00 x_{8} & +  2.00 x_{9} & +  9.00 x_{10} & +  8.00 x_{11} & +  5.00 x_{12} & -10.00 x_{13} & + 10.00 x_{14} & +  1.00 x_{15}\\
\hline
z    &  0.0 & -3.00 x_{1} & -4.00 x_{2} & +  5.00 x_{3} & +  1.00 x_{4} & -1.00 x_{5} & +  2.00 x_{6} & -4.00 x_{7} & -2.00 x_{8} &   & +  4.00 x_{10} & -5.00 x_{11} & +  4.00 x_{12} & +  3.00 x_{13} & +  3.00 x_{14} & -2.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  8.00 y_{16} & +  8.00 y_{17} & +  5.00 y_{18} & +  6.00 y_{19} & +  5.00 y_{20} & +  8.00 y_{21} & +  6.00 y_{22} & +  7.00 y_{23} & -10.00 y_{24} & -9.00 y_{25} & +  4.00 y_{26} & -4.00 y_{27} & +  6.00 y_{28} & -7.00 y_{29} & +  4.00 y_{30} & -5.00 y_{31} & -7.00 y_{32}\\
 y_{2}   &  1.0 & -2.00 y_{16} &   & +  3.00 y_{18} & -8.00 y_{19} & + 10.00 y_{20} & +  8.00 y_{21} & -3.00 y_{22} & -1.00 y_{23} & -8.00 y_{24} & -5.00 y_{25} & -3.00 y_{26} & +  9.00 y_{27} & +  6.00 y_{28} & +  4.00 y_{29} & + 10.00 y_{30} & +  8.00 y_{31} & + 10.00 y_{32}\\
 y_{3}   &  1.0 & +  9.00 y_{16} & -8.00 y_{17} & -1.00 y_{18} & -2.00 y_{19} & +  2.00 y_{20} & +  7.00 y_{21} & -8.00 y_{22} & -7.00 y_{23} & -2.00 y_{24} & +  8.00 y_{25} & +  4.00 y_{26} & -2.00 y_{27} & -3.00 y_{28} & +  2.00 y_{29} & -8.00 y_{30} & -3.00 y_{31} & -4.00 y_{32}\\
 y_{4}   &  1.0 & -6.00 y_{16} & -5.00 y_{17} & -7.00 y_{18} & + 10.00 y_{19} & +  8.00 y_{20} & +  6.00 y_{21} & -3.00 y_{22} & -1.00 y_{23} &   & +  3.00 y_{25} & -6.00 y_{26} & +  9.00 y_{27} & -4.00 y_{28} & +  9.00 y_{29} &   & -2.00 y_{31} & -2.00 y_{32}\\
 y_{5}   &  1.0 & -5.00 y_{16} & -10.00 y_{17} & -2.00 y_{18} & -9.00 y_{19} & -3.00 y_{20} &   & + 10.00 y_{22} & -7.00 y_{23} &   & + 10.00 y_{25} & -3.00 y_{26} & +  4.00 y_{27} & +  3.00 y_{28} & +  7.00 y_{29} & -2.00 y_{30} & +  9.00 y_{31} & +  5.00 y_{32}\\
 y_{6}   &  1.0 & +  1.00 y_{16} & +  9.00 y_{17} & -9.00 y_{18} & + 10.00 y_{19} & -7.00 y_{20} & -1.00 y_{21} & +  7.00 y_{22} & -4.00 y_{23} & -8.00 y_{24} & +  4.00 y_{25} & +  3.00 y_{26} & -5.00 y_{27} & +  9.00 y_{28} & -8.00 y_{29} & +  4.00 y_{30} & +  4.00 y_{31} & -3.00 y_{32}\\
 y_{7}   &  1.0 & -5.00 y_{16} & -8.00 y_{17} & +  4.00 y_{18} & +  3.00 y_{19} & +  4.00 y_{20} & -10.00 y_{21} & +  2.00 y_{22} & +  6.00 y_{23} & -2.00 y_{24} & +  8.00 y_{25} & -9.00 y_{26} & +  8.00 y_{27} & -3.00 y_{28} & -7.00 y_{29} & -5.00 y_{30} & -7.00 y_{31} & + 10.00 y_{32}\\
 y_{8}   &  1.0 & -10.00 y_{16} & -9.00 y_{17} &   & -1.00 y_{19} & +  9.00 y_{20} & + 10.00 y_{21} & +  3.00 y_{22} & -3.00 y_{23} & +  3.00 y_{24} & +  5.00 y_{25} & + 10.00 y_{26} & +  5.00 y_{27} & -1.00 y_{28} & +  2.00 y_{29} & +  4.00 y_{30} & -10.00 y_{31} & -6.00 y_{32}\\
 y_{9}   &  1.0 & -9.00 y_{16} & -8.00 y_{17} & +  9.00 y_{18} & -2.00 y_{19} & -3.00 y_{20} & +  1.00 y_{21} & -5.00 y_{22} & -3.00 y_{23} & +  5.00 y_{24} & +  9.00 y_{25} & +  1.00 y_{26} & -3.00 y_{27} & -1.00 y_{28} & -7.00 y_{29} & +  5.00 y_{30} & +  2.00 y_{31} & -2.00 y_{32}\\
 y_{10}   &  1.0 & + 10.00 y_{16} & -5.00 y_{17} & +  9.00 y_{18} & -5.00 y_{19} & +  2.00 y_{20} & -4.00 y_{21} & -3.00 y_{22} & -6.00 y_{23} & +  6.00 y_{24} & -5.00 y_{25} & +  9.00 y_{26} & +  3.00 y_{27} & -9.00 y_{28} & +  8.00 y_{29} & +  7.00 y_{30} & -6.00 y_{31} & -9.00 y_{32}\\
 y_{11}   &  1.0 & +  6.00 y_{16} & +  2.00 y_{17} & -8.00 y_{18} & -1.00 y_{19} & -1.00 y_{20} & +  9.00 y_{21} & -3.00 y_{22} &   & -6.00 y_{24} & +  8.00 y_{25} & +  4.00 y_{26} & -2.00 y_{27} & +  2.00 y_{28} & -3.00 y_{29} & -2.00 y_{30} & -3.00 y_{31} & -8.00 y_{32}\\
 y_{12}   &  1.0 & -10.00 y_{16} & +  5.00 y_{17} & +  2.00 y_{18} & -10.00 y_{19} & +  9.00 y_{20} & -7.00 y_{21} & +  9.00 y_{22} & +  7.00 y_{23} & +  9.00 y_{24} & +  3.00 y_{25} & + 10.00 y_{26} & -4.00 y_{27} & +  1.00 y_{28} & -4.00 y_{29} & +  4.00 y_{30} &   & -5.00 y_{32}\\
 y_{13}   &  1.0 & +  1.00 y_{16} & -6.00 y_{17} &   & +  9.00 y_{19} &   & +  6.00 y_{21} & +  4.00 y_{22} & +  9.00 y_{23} & +  7.00 y_{24} & +  2.00 y_{25} & + 10.00 y_{26} & +  3.00 y_{27} & +  2.00 y_{28} & -1.00 y_{29} & +  2.00 y_{30} & -4.00 y_{31} & + 10.00 y_{32}\\
 y_{14}   &  1.0 & +  9.00 y_{16} & -1.00 y_{17} & -10.00 y_{18} & +  3.00 y_{19} & -1.00 y_{20} & +  6.00 y_{21} & +  4.00 y_{22} & +  3.00 y_{23} & -5.00 y_{24} & -4.00 y_{25} & -5.00 y_{26} & +  8.00 y_{27} & -5.00 y_{28} &    &   & -4.00 y_{31} & -10.00 y_{32}\\
 y_{15}   &  1.0 & +  9.00 y_{16} & -1.00 y_{17} & + 10.00 y_{18} & +  5.00 y_{19} & + 10.00 y_{20} & -9.00 y_{21} & -7.00 y_{22} & +  6.00 y_{23} & +  5.00 y_{24} & -5.00 y_{25} & +  4.00 y_{26} & +  8.00 y_{27} & -3.00 y_{28} & -3.00 y_{29} & -2.00 y_{30} & -4.00 y_{31} & -1.00 y_{32}\\
\hline
z    &  -0 & -31.00 y_{16} & + 58.00 y_{17} & -14.00 y_{18} & -61.00 y_{19} & -39.00 y_{20} & -37.00 y_{21} & -17.00 y_{22} & + 11.00 y_{23} & -17.00 y_{24} & -91.00 y_{25} & -52.00 y_{26} & -78.00 y_{27} & +  6.00 y_{28} & -5.00 y_{29} & -18.00 y_{30} & +  3.00 y_{31} & + 30.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 17 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  2.18715695033 & -46.86 y_{16} & -1.00 y_{14} & +  0.01 y_{7} & -5.66 y_{19} & -0.07 y_{10} & + 16.92 y_{28} & -2.20 y_{5} & + 16.17 y_{23} & +  3.94 y_{3} & -11.50 y_{25} & -8.84 y_{26} & + 25.89 y_{27} & -1.33 y_{8} & -0.54 y_{9} & + 39.69 y_{30} & +  9.98 y_{31} & + 64.60 y_{22}\\
 y_{2}   &  2.53090408879 & -34.31 y_{16} & -1.94 y_{14} & +  0.04 y_{7} & -9.29 y_{19} & -0.43 y_{10} & +  4.60 y_{28} & -1.00 y_{5} & + 14.80 y_{23} & +  3.60 y_{3} & -19.97 y_{25} & -19.01 y_{26} & + 35.84 y_{27} & -0.57 y_{8} & -1.23 y_{9} & + 48.35 y_{30} & + 14.55 y_{31} & + 37.76 y_{22}\\
 y_{32}   &  0.0750166224607 & +  1.01 y_{16} & -0.06 y_{14} & -0.01 y_{7} & +  0.22 y_{19} & -0.04 y_{10} & -0.76 y_{28} & +  0.03 y_{5} & +  0.17 y_{23} & +  0.01 y_{3} & -0.67 y_{25} & +  0.03 y_{26} & +  0.45 y_{27} & +  0.01 y_{8} & -0.01 y_{9} & +  0.39 y_{30} & -0.64 y_{31} & -0.22 y_{22}\\
 y_{4}   &  0.459283231312 & +  1.62 y_{16} & +  0.14 y_{14} & +  0.02 y_{7} & + 12.75 y_{19} & +  0.06 y_{10} & -5.03 y_{28} & +  0.46 y_{5} & -0.03 y_{23} & -0.41 y_{3} & +  3.58 y_{25} & -11.14 y_{26} & -1.58 y_{27} & +  0.91 y_{8} & -0.64 y_{9} & -3.16 y_{30} & +  4.12 y_{31} & -17.19 y_{22}\\
 y_{17}   &  0.143824169766 & -0.39 y_{16} & -0.03 y_{14} & -0.03 y_{7} & -0.29 y_{19} & -0.01 y_{10} & -0.21 y_{28} & -0.04 y_{5} & -0.15 y_{23} & +  0.01 y_{3} & +  0.74 y_{25} & -0.35 y_{26} & +  0.68 y_{27} & -0.01 y_{8} & -0.02 y_{9} & +  0.04 y_{30} & -0.05 y_{31} & +  0.55 y_{22}\\
 y_{6}   &  1.32313308447 & -12.34 y_{16} & +  0.83 y_{14} & +  0.06 y_{7} & +  1.91 y_{19} & -0.32 y_{10} & + 11.41 y_{28} & -0.40 y_{5} & -12.61 y_{23} & +  0.12 y_{3} & + 10.82 y_{25} & + 16.35 y_{26} & -5.20 y_{27} & -0.76 y_{8} & +  0.14 y_{9} & +  9.01 y_{30} & +  1.96 y_{31} & + 10.44 y_{22}\\
 y_{24}   &  0.00297945611749 & +  4.22 y_{16} & +  0.04 y_{14} & -0.03 y_{7} & +  0.34 y_{19} & -0.01 y_{10} & -0.84 y_{28} & +  0.08 y_{5} & -0.80 y_{23} & -0.27 y_{3} & +  0.56 y_{25} & +  0.05 y_{26} & -1.41 y_{27} & +  0.13 y_{8} & +  0.06 y_{9} & -2.89 y_{30} & -0.49 y_{31} & -3.23 y_{22}\\
 y_{18}   &  0.0462356144521 & -2.23 y_{16} & -0.09 y_{14} & -0.01 y_{7} & +  0.08 y_{19} & +  0.02 y_{10} & +  0.38 y_{28} & -0.07 y_{5} & +  1.04 y_{23} & +  0.18 y_{3} & -0.55 y_{25} & -0.94 y_{26} & +  1.78 y_{27} & -0.08 y_{8} & -0.00 y_{9} & +  1.45 y_{30} & +  0.11 y_{31} & +  2.84 y_{22}\\
 y_{29}   &  0.0249244083175 & -1.10 y_{16} & -0.04 y_{14} & -0.02 y_{7} & +  0.54 y_{19} & +  0.03 y_{10} & +  0.03 y_{28} & +  0.02 y_{5} & +  0.76 y_{23} & +  0.05 y_{3} & +  0.09 y_{25} & -0.56 y_{26} & +  0.36 y_{27} & -0.02 y_{8} & -0.05 y_{9} & +  0.47 y_{30} & -0.30 y_{31} & +  0.27 y_{22}\\
 y_{21}   &  0.0629206945781 & -0.03 y_{16} & -0.06 y_{14} & -0.05 y_{7} & +  0.16 y_{19} & -0.04 y_{10} & -0.51 y_{28} & -0.02 y_{5} & +  0.75 y_{23} & +  0.09 y_{3} & -0.72 y_{25} & -0.78 y_{26} & +  1.23 y_{27} & +  0.00 y_{8} & +  0.01 y_{9} & +  0.68 y_{30} & -0.42 y_{31} & +  1.09 y_{22}\\
 y_{11}   &  0.784986385788 & -7.65 y_{16} & +  0.50 y_{14} & -0.16 y_{7} & -5.76 y_{19} & -0.28 y_{10} & +  4.85 y_{28} & -0.41 y_{5} & -0.27 y_{23} & +  0.78 y_{3} & +  8.79 y_{25} & +  5.43 y_{26} & +  0.51 y_{27} & -0.22 y_{8} & +  0.02 y_{9} & +  5.33 y_{30} & -0.06 y_{31} & +  5.57 y_{22}\\
 y_{12}   &  0.979704707059 & + 23.50 y_{16} & +  0.74 y_{14} & +  0.38 y_{7} & -16.63 y_{19} & +  0.41 y_{10} & +  2.47 y_{28} & -0.11 y_{5} & -12.07 y_{23} & -3.00 y_{3} & + 21.64 y_{25} & + 10.15 y_{26} & -26.89 y_{27} & +  1.49 y_{8} & +  0.11 y_{9} & -27.71 y_{30} & + 14.77 y_{31} & -20.32 y_{22}\\
 y_{13}   &  1.26067715799 & + 43.93 y_{16} & -0.39 y_{14} & -0.36 y_{7} & + 15.79 y_{19} & -0.75 y_{10} & -13.36 y_{28} & +  0.99 y_{5} & +  9.82 y_{23} & -1.41 y_{3} & -9.60 y_{25} & +  8.64 y_{26} & +  0.51 y_{27} & +  1.11 y_{8} & +  0.54 y_{9} & -10.95 y_{30} & -15.76 y_{31} & -17.83 y_{22}\\
 y_{20}   &  0.00628034798764 & +  0.27 y_{16} & -0.01 y_{14} & +  0.04 y_{7} & -0.45 y_{19} & +  0.01 y_{10} & +  0.23 y_{28} & -0.04 y_{5} & -0.45 y_{23} & -0.01 y_{3} & +  0.33 y_{25} & -0.47 y_{26} & -0.55 y_{27} & +  0.06 y_{8} & -0.05 y_{9} & -0.03 y_{30} & +  1.32 y_{31} & -0.12 y_{22}\\
 y_{15}   &  0.680156636602 & + 13.43 y_{16} & -0.14 y_{14} & +  0.67 y_{7} & +  0.02 y_{19} & +  0.62 y_{10} & +  4.33 y_{28} & -0.61 y_{5} & -1.17 y_{23} & -0.58 y_{3} & +  1.76 y_{25} & -0.86 y_{26} & +  0.04 y_{27} & +  0.53 y_{8} & -0.16 y_{9} & -10.13 y_{30} & + 13.24 y_{31} & -6.86 y_{22}\\
\hline
z    &  7.19672985142 & -67.67 y_{16} & -0.22 y_{14} & -0.69 y_{7} & -69.43 y_{19} & -0.74 y_{10} & -10.39 y_{28} & -0.06 y_{5} & -8.00 y_{23} & -0.62 y_{3} & -56.82 y_{25} & -9.09 y_{26} & -51.81 y_{27} & -4.04 y_{8} & -0.83 y_{9} & -1.07 y_{30} & -47.27 y_{31} & -13.41 y_{22}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  67.6674428142 & + 46.86 x_{1} & + 34.31 x_{2} & -1.01 x_{32} & -1.62 x_{4} & +  0.39 x_{17} & + 12.34 x_{6} & -4.22 x_{24} & +  2.23 x_{18} & +  1.10 x_{29} & +  0.03 x_{21} & +  7.65 x_{11} & -23.50 x_{12} & -43.93 x_{13} & -0.27 x_{20} & -13.43 x_{15}\\
 x_{14}   &  0.215233529446 & +  1.00 x_{1} & +  1.94 x_{2} & +  0.06 x_{32} & -0.14 x_{4} & +  0.03 x_{17} & -0.83 x_{6} & -0.04 x_{24} & +  0.09 x_{18} & +  0.04 x_{29} & +  0.06 x_{21} & -0.50 x_{11} & -0.74 x_{12} & +  0.39 x_{13} & +  0.01 x_{20} & +  0.14 x_{15}\\
 x_{7}   &  0.692802529572 & -0.01 x_{1} & -0.04 x_{2} & +  0.01 x_{32} & -0.02 x_{4} & +  0.03 x_{17} & -0.06 x_{6} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.05 x_{21} & +  0.16 x_{11} & -0.38 x_{12} & +  0.36 x_{13} & -0.04 x_{20} & -0.67 x_{15}\\
 x_{19}   &  69.4282295168 & +  5.66 x_{1} & +  9.29 x_{2} & -0.22 x_{32} & -12.75 x_{4} & +  0.29 x_{17} & -1.91 x_{6} & -0.34 x_{24} & -0.08 x_{18} & -0.54 x_{29} & -0.16 x_{21} & +  5.76 x_{11} & + 16.63 x_{12} & -15.79 x_{13} & +  0.45 x_{20} & -0.02 x_{15}\\
 x_{10}   &  0.740440315061 & +  0.07 x_{1} & +  0.43 x_{2} & +  0.04 x_{32} & -0.06 x_{4} & +  0.01 x_{17} & +  0.32 x_{6} & +  0.01 x_{24} & -0.02 x_{18} & -0.03 x_{29} & +  0.04 x_{21} & +  0.28 x_{11} & -0.41 x_{12} & +  0.75 x_{13} & -0.01 x_{20} & -0.62 x_{15}\\
 x_{28}   &  10.3861228492 & -16.92 x_{1} & -4.60 x_{2} & +  0.76 x_{32} & +  5.03 x_{4} & +  0.21 x_{17} & -11.41 x_{6} & +  0.84 x_{24} & -0.38 x_{18} & -0.03 x_{29} & +  0.51 x_{21} & -4.85 x_{11} & -2.47 x_{12} & + 13.36 x_{13} & -0.23 x_{20} & -4.33 x_{15}\\
 x_{5}   &  0.0564162226406 & +  2.20 x_{1} & +  1.00 x_{2} & -0.03 x_{32} & -0.46 x_{4} & +  0.04 x_{17} & +  0.40 x_{6} & -0.08 x_{24} & +  0.07 x_{18} & -0.02 x_{29} & +  0.02 x_{21} & +  0.41 x_{11} & +  0.11 x_{12} & -0.99 x_{13} & +  0.04 x_{20} & +  0.61 x_{15}\\
 x_{23}   &  8.00054382902 & -16.17 x_{1} & -14.80 x_{2} & -0.17 x_{32} & +  0.03 x_{4} & +  0.15 x_{17} & + 12.61 x_{6} & +  0.80 x_{24} & -1.04 x_{18} & -0.76 x_{29} & -0.75 x_{21} & +  0.27 x_{11} & + 12.07 x_{12} & -9.82 x_{13} & +  0.45 x_{20} & +  1.17 x_{15}\\
 x_{3}   &  0.622498095458 & -3.94 x_{1} & -3.60 x_{2} & -0.01 x_{32} & +  0.41 x_{4} & -0.01 x_{17} & -0.12 x_{6} & +  0.27 x_{24} & -0.18 x_{18} & -0.05 x_{29} & -0.09 x_{21} & -0.78 x_{11} & +  3.00 x_{12} & +  1.41 x_{13} & +  0.01 x_{20} & +  0.58 x_{15}\\
 x_{25}   &  56.8176536118 & + 11.50 x_{1} & + 19.97 x_{2} & +  0.67 x_{32} & -3.58 x_{4} & -0.74 x_{17} & -10.82 x_{6} & -0.56 x_{24} & +  0.55 x_{18} & -0.09 x_{29} & +  0.72 x_{21} & -8.79 x_{11} & -21.64 x_{12} & +  9.60 x_{13} & -0.33 x_{20} & -1.76 x_{15}\\
 x_{26}   &  9.08578515285 & +  8.84 x_{1} & + 19.01 x_{2} & -0.03 x_{32} & + 11.14 x_{4} & +  0.35 x_{17} & -16.35 x_{6} & -0.05 x_{24} & +  0.94 x_{18} & +  0.56 x_{29} & +  0.78 x_{21} & -5.43 x_{11} & -10.15 x_{12} & -8.64 x_{13} & +  0.47 x_{20} & +  0.86 x_{15}\\
 x_{27}   &  51.8114642036 & -25.89 x_{1} & -35.84 x_{2} & -0.45 x_{32} & +  1.58 x_{4} & -0.68 x_{17} & +  5.20 x_{6} & +  1.41 x_{24} & -1.78 x_{18} & -0.36 x_{29} & -1.23 x_{21} & -0.51 x_{11} & + 26.89 x_{12} & -0.51 x_{13} & +  0.55 x_{20} & -0.04 x_{15}\\
 x_{8}   &  4.04128439465 & +  1.33 x_{1} & +  0.57 x_{2} & -0.01 x_{32} & -0.91 x_{4} & +  0.01 x_{17} & +  0.76 x_{6} & -0.13 x_{24} & +  0.08 x_{18} & +  0.02 x_{29} & -0.00 x_{21} & +  0.22 x_{11} & -1.49 x_{12} & -1.11 x_{13} & -0.06 x_{20} & -0.53 x_{15}\\
 x_{9}   &  0.828054764597 & +  0.54 x_{1} & +  1.23 x_{2} & +  0.01 x_{32} & +  0.64 x_{4} & +  0.02 x_{17} & -0.14 x_{6} & -0.06 x_{24} & +  0.00 x_{18} & +  0.05 x_{29} & -0.01 x_{21} & -0.02 x_{11} & -0.11 x_{12} & -0.54 x_{13} & +  0.05 x_{20} & +  0.16 x_{15}\\
 x_{30}   &  1.0683362498 & -39.69 x_{1} & -48.35 x_{2} & -0.39 x_{32} & +  3.16 x_{4} & -0.04 x_{17} & -9.01 x_{6} & +  2.89 x_{24} & -1.45 x_{18} & -0.47 x_{29} & -0.68 x_{21} & -5.33 x_{11} & + 27.71 x_{12} & + 10.95 x_{13} & +  0.03 x_{20} & + 10.13 x_{15}\\
 x_{31}   &  47.269676415 & -9.98 x_{1} & -14.55 x_{2} & +  0.64 x_{32} & -4.12 x_{4} & +  0.05 x_{17} & -1.96 x_{6} & +  0.49 x_{24} & -0.11 x_{18} & +  0.30 x_{29} & +  0.42 x_{21} & +  0.06 x_{11} & -14.77 x_{12} & + 15.76 x_{13} & -1.32 x_{20} & -13.24 x_{15}\\
 x_{22}   &  13.4070249445 & -64.60 x_{1} & -37.76 x_{2} & +  0.22 x_{32} & + 17.19 x_{4} & -0.55 x_{17} & -10.44 x_{6} & +  3.23 x_{24} & -2.84 x_{18} & -0.27 x_{29} & -1.09 x_{21} & -5.57 x_{11} & + 20.32 x_{12} & + 17.83 x_{13} & +  0.12 x_{20} & +  6.86 x_{15}\\
\hline
z    &  -7.19672985142 & -2.19 x_{1} & -2.53 x_{2} & -0.08 x_{32} & -0.46 x_{4} & -0.14 x_{17} & -1.32 x_{6} & -0.00 x_{24} & -0.05 x_{18} & -0.02 x_{29} & -0.06 x_{21} & -0.78 x_{11} & -0.98 x_{12} & -1.26 x_{13} & -0.01 x_{20} & -0.68 x_{15}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  67.6674428142 & + 46.86 x_{1} & + 34.31 x_{2} & -1.01 x_{32} & -1.62 x_{4} & +  0.39 x_{17} & + 12.34 x_{6} & -4.22 x_{24} & +  2.23 x_{18} & +  1.10 x_{29} & +  0.03 x_{21} & +  7.65 x_{11} & -23.50 x_{12} & -43.93 x_{13} & -0.27 x_{20} & -13.43 x_{15}\\
 x_{14}   &  0.215233529446 & +  1.00 x_{1} & +  1.94 x_{2} & +  0.06 x_{32} & -0.14 x_{4} & +  0.03 x_{17} & -0.83 x_{6} & -0.04 x_{24} & +  0.09 x_{18} & +  0.04 x_{29} & +  0.06 x_{21} & -0.50 x_{11} & -0.74 x_{12} & +  0.39 x_{13} & +  0.01 x_{20} & +  0.14 x_{15}\\
 x_{7}   &  0.692802529572 & -0.01 x_{1} & -0.04 x_{2} & +  0.01 x_{32} & -0.02 x_{4} & +  0.03 x_{17} & -0.06 x_{6} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.05 x_{21} & +  0.16 x_{11} & -0.38 x_{12} & +  0.36 x_{13} & -0.04 x_{20} & -0.67 x_{15}\\
 x_{19}   &  69.4282295168 & +  5.66 x_{1} & +  9.29 x_{2} & -0.22 x_{32} & -12.75 x_{4} & +  0.29 x_{17} & -1.91 x_{6} & -0.34 x_{24} & -0.08 x_{18} & -0.54 x_{29} & -0.16 x_{21} & +  5.76 x_{11} & + 16.63 x_{12} & -15.79 x_{13} & +  0.45 x_{20} & -0.02 x_{15}\\
 x_{10}   &  0.740440315061 & +  0.07 x_{1} & +  0.43 x_{2} & +  0.04 x_{32} & -0.06 x_{4} & +  0.01 x_{17} & +  0.32 x_{6} & +  0.01 x_{24} & -0.02 x_{18} & -0.03 x_{29} & +  0.04 x_{21} & +  0.28 x_{11} & -0.41 x_{12} & +  0.75 x_{13} & -0.01 x_{20} & -0.62 x_{15}\\
 x_{28}   &  10.3861228492 & -16.92 x_{1} & -4.60 x_{2} & +  0.76 x_{32} & +  5.03 x_{4} & +  0.21 x_{17} & -11.41 x_{6} & +  0.84 x_{24} & -0.38 x_{18} & -0.03 x_{29} & +  0.51 x_{21} & -4.85 x_{11} & -2.47 x_{12} & + 13.36 x_{13} & -0.23 x_{20} & -4.33 x_{15}\\
 x_{5}   &  0.0564162226406 & +  2.20 x_{1} & +  1.00 x_{2} & -0.03 x_{32} & -0.46 x_{4} & +  0.04 x_{17} & +  0.40 x_{6} & -0.08 x_{24} & +  0.07 x_{18} & -0.02 x_{29} & +  0.02 x_{21} & +  0.41 x_{11} & +  0.11 x_{12} & -0.99 x_{13} & +  0.04 x_{20} & +  0.61 x_{15}\\
 x_{23}   &  8.00054382902 & -16.17 x_{1} & -14.80 x_{2} & -0.17 x_{32} & +  0.03 x_{4} & +  0.15 x_{17} & + 12.61 x_{6} & +  0.80 x_{24} & -1.04 x_{18} & -0.76 x_{29} & -0.75 x_{21} & +  0.27 x_{11} & + 12.07 x_{12} & -9.82 x_{13} & +  0.45 x_{20} & +  1.17 x_{15}\\
 x_{3}   &  0.622498095458 & -3.94 x_{1} & -3.60 x_{2} & -0.01 x_{32} & +  0.41 x_{4} & -0.01 x_{17} & -0.12 x_{6} & +  0.27 x_{24} & -0.18 x_{18} & -0.05 x_{29} & -0.09 x_{21} & -0.78 x_{11} & +  3.00 x_{12} & +  1.41 x_{13} & +  0.01 x_{20} & +  0.58 x_{15}\\
 x_{25}   &  56.8176536118 & + 11.50 x_{1} & + 19.97 x_{2} & +  0.67 x_{32} & -3.58 x_{4} & -0.74 x_{17} & -10.82 x_{6} & -0.56 x_{24} & +  0.55 x_{18} & -0.09 x_{29} & +  0.72 x_{21} & -8.79 x_{11} & -21.64 x_{12} & +  9.60 x_{13} & -0.33 x_{20} & -1.76 x_{15}\\
 x_{26}   &  9.08578515285 & +  8.84 x_{1} & + 19.01 x_{2} & -0.03 x_{32} & + 11.14 x_{4} & +  0.35 x_{17} & -16.35 x_{6} & -0.05 x_{24} & +  0.94 x_{18} & +  0.56 x_{29} & +  0.78 x_{21} & -5.43 x_{11} & -10.15 x_{12} & -8.64 x_{13} & +  0.47 x_{20} & +  0.86 x_{15}\\
 x_{27}   &  51.8114642036 & -25.89 x_{1} & -35.84 x_{2} & -0.45 x_{32} & +  1.58 x_{4} & -0.68 x_{17} & +  5.20 x_{6} & +  1.41 x_{24} & -1.78 x_{18} & -0.36 x_{29} & -1.23 x_{21} & -0.51 x_{11} & + 26.89 x_{12} & -0.51 x_{13} & +  0.55 x_{20} & -0.04 x_{15}\\
 x_{8}   &  4.04128439465 & +  1.33 x_{1} & +  0.57 x_{2} & -0.01 x_{32} & -0.91 x_{4} & +  0.01 x_{17} & +  0.76 x_{6} & -0.13 x_{24} & +  0.08 x_{18} & +  0.02 x_{29} & -0.00 x_{21} & +  0.22 x_{11} & -1.49 x_{12} & -1.11 x_{13} & -0.06 x_{20} & -0.53 x_{15}\\
 x_{9}   &  0.828054764597 & +  0.54 x_{1} & +  1.23 x_{2} & +  0.01 x_{32} & +  0.64 x_{4} & +  0.02 x_{17} & -0.14 x_{6} & -0.06 x_{24} & +  0.00 x_{18} & +  0.05 x_{29} & -0.01 x_{21} & -0.02 x_{11} & -0.11 x_{12} & -0.54 x_{13} & +  0.05 x_{20} & +  0.16 x_{15}\\
 x_{30}   &  1.0683362498 & -39.69 x_{1} & -48.35 x_{2} & -0.39 x_{32} & +  3.16 x_{4} & -0.04 x_{17} & -9.01 x_{6} & +  2.89 x_{24} & -1.45 x_{18} & -0.47 x_{29} & -0.68 x_{21} & -5.33 x_{11} & + 27.71 x_{12} & + 10.95 x_{13} & +  0.03 x_{20} & + 10.13 x_{15}\\
 x_{31}   &  47.269676415 & -9.98 x_{1} & -14.55 x_{2} & +  0.64 x_{32} & -4.12 x_{4} & +  0.05 x_{17} & -1.96 x_{6} & +  0.49 x_{24} & -0.11 x_{18} & +  0.30 x_{29} & +  0.42 x_{21} & +  0.06 x_{11} & -14.77 x_{12} & + 15.76 x_{13} & -1.32 x_{20} & -13.24 x_{15}\\
 x_{22}   &  13.4070249445 & -64.60 x_{1} & -37.76 x_{2} & +  0.22 x_{32} & + 17.19 x_{4} & -0.55 x_{17} & -10.44 x_{6} & +  3.23 x_{24} & -2.84 x_{18} & -0.27 x_{29} & -1.09 x_{21} & -5.57 x_{11} & + 20.32 x_{12} & + 17.83 x_{13} & +  0.12 x_{20} & +  6.86 x_{15}\\
\hline
z    &  -4.19024280435 & -24.27 x_{1} & -16.48 x_{2} & +  0.35 x_{32} & +  4.76 x_{4} & -0.08 x_{17} & -1.45 x_{6} & +  1.49 x_{24} & -0.99 x_{18} & -0.38 x_{29} & -0.30 x_{21} & -10.78 x_{11} & + 19.54 x_{12} & + 16.03 x_{13} & +  0.29 x_{20} & +  2.00 x_{15}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  67.6674428142 & + 46.86 x_{1} & + 34.31 x_{2} & -1.01 x_{32} & -1.62 x_{4} & +  0.39 x_{17} & + 12.34 x_{6} & -4.22 x_{24} & +  2.23 x_{18} & +  1.10 x_{29} & +  0.03 x_{21} & +  7.65 x_{11} & -23.50 x_{12} & -43.93 x_{13} & -0.27 x_{20} & -13.43 x_{15}\\
 x_{14}   &  0.215233529446 & +  1.00 x_{1} & +  1.94 x_{2} & +  0.06 x_{32} & -0.14 x_{4} & +  0.03 x_{17} & -0.83 x_{6} & -0.04 x_{24} & +  0.09 x_{18} & +  0.04 x_{29} & +  0.06 x_{21} & -0.50 x_{11} & -0.74 x_{12} & +  0.39 x_{13} & +  0.01 x_{20} & +  0.14 x_{15}\\
 x_{7}   &  0.692802529572 & -0.01 x_{1} & -0.04 x_{2} & +  0.01 x_{32} & -0.02 x_{4} & +  0.03 x_{17} & -0.06 x_{6} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.05 x_{21} & +  0.16 x_{11} & -0.38 x_{12} & +  0.36 x_{13} & -0.04 x_{20} & -0.67 x_{15}\\
 x_{19}   &  69.4282295168 & +  5.66 x_{1} & +  9.29 x_{2} & -0.22 x_{32} & -12.75 x_{4} & +  0.29 x_{17} & -1.91 x_{6} & -0.34 x_{24} & -0.08 x_{18} & -0.54 x_{29} & -0.16 x_{21} & +  5.76 x_{11} & + 16.63 x_{12} & -15.79 x_{13} & +  0.45 x_{20} & -0.02 x_{15}\\
 x_{10}   &  0.740440315061 & +  0.07 x_{1} & +  0.43 x_{2} & +  0.04 x_{32} & -0.06 x_{4} & +  0.01 x_{17} & +  0.32 x_{6} & +  0.01 x_{24} & -0.02 x_{18} & -0.03 x_{29} & +  0.04 x_{21} & +  0.28 x_{11} & -0.41 x_{12} & +  0.75 x_{13} & -0.01 x_{20} & -0.62 x_{15}\\
 x_{28}   &  10.3861228492 & -16.92 x_{1} & -4.60 x_{2} & +  0.76 x_{32} & +  5.03 x_{4} & +  0.21 x_{17} & -11.41 x_{6} & +  0.84 x_{24} & -0.38 x_{18} & -0.03 x_{29} & +  0.51 x_{21} & -4.85 x_{11} & -2.47 x_{12} & + 13.36 x_{13} & -0.23 x_{20} & -4.33 x_{15}\\
 x_{5}   &  0.0564162226406 & +  2.20 x_{1} & +  1.00 x_{2} & -0.03 x_{32} & -0.46 x_{4} & +  0.04 x_{17} & +  0.40 x_{6} & -0.08 x_{24} & +  0.07 x_{18} & -0.02 x_{29} & +  0.02 x_{21} & +  0.41 x_{11} & +  0.11 x_{12} & -0.99 x_{13} & +  0.04 x_{20} & +  0.61 x_{15}\\
 x_{23}   &  8.00054382902 & -16.17 x_{1} & -14.80 x_{2} & -0.17 x_{32} & +  0.03 x_{4} & +  0.15 x_{17} & + 12.61 x_{6} & +  0.80 x_{24} & -1.04 x_{18} & -0.76 x_{29} & -0.75 x_{21} & +  0.27 x_{11} & + 12.07 x_{12} & -9.82 x_{13} & +  0.45 x_{20} & +  1.17 x_{15}\\
 x_{3}   &  0.622498095458 & -3.94 x_{1} & -3.60 x_{2} & -0.01 x_{32} & +  0.41 x_{4} & -0.01 x_{17} & -0.12 x_{6} & +  0.27 x_{24} & -0.18 x_{18} & -0.05 x_{29} & -0.09 x_{21} & -0.78 x_{11} & +  3.00 x_{12} & +  1.41 x_{13} & +  0.01 x_{20} & +  0.58 x_{15}\\
 x_{25}   &  56.8176536118 & + 11.50 x_{1} & + 19.97 x_{2} & +  0.67 x_{32} & -3.58 x_{4} & -0.74 x_{17} & -10.82 x_{6} & -0.56 x_{24} & +  0.55 x_{18} & -0.09 x_{29} & +  0.72 x_{21} & -8.79 x_{11} & -21.64 x_{12} & +  9.60 x_{13} & -0.33 x_{20} & -1.76 x_{15}\\
 x_{26}   &  9.08578515285 & +  8.84 x_{1} & + 19.01 x_{2} & -0.03 x_{32} & + 11.14 x_{4} & +  0.35 x_{17} & -16.35 x_{6} & -0.05 x_{24} & +  0.94 x_{18} & +  0.56 x_{29} & +  0.78 x_{21} & -5.43 x_{11} & -10.15 x_{12} & -8.64 x_{13} & +  0.47 x_{20} & +  0.86 x_{15}\\
 x_{27}   &  51.8114642036 & -25.89 x_{1} & -35.84 x_{2} & -0.45 x_{32} & +  1.58 x_{4} & -0.68 x_{17} & +  5.20 x_{6} & +  1.41 x_{24} & -1.78 x_{18} & -0.36 x_{29} & -1.23 x_{21} & -0.51 x_{11} & + 26.89 x_{12} & -0.51 x_{13} & +  0.55 x_{20} & -0.04 x_{15}\\
 x_{8}   &  4.04128439465 & +  1.33 x_{1} & +  0.57 x_{2} & -0.01 x_{32} & -0.91 x_{4} & +  0.01 x_{17} & +  0.76 x_{6} & -0.13 x_{24} & +  0.08 x_{18} & +  0.02 x_{29} & -0.00 x_{21} & +  0.22 x_{11} & -1.49 x_{12} & -1.11 x_{13} & -0.06 x_{20} & -0.53 x_{15}\\
 x_{9}   &  0.828054764597 & +  0.54 x_{1} & +  1.23 x_{2} & +  0.01 x_{32} & +  0.64 x_{4} & +  0.02 x_{17} & -0.14 x_{6} & -0.06 x_{24} & +  0.00 x_{18} & +  0.05 x_{29} & -0.01 x_{21} & -0.02 x_{11} & -0.11 x_{12} & -0.54 x_{13} & +  0.05 x_{20} & +  0.16 x_{15}\\
 x_{30}   &  1.0683362498 & -39.69 x_{1} & -48.35 x_{2} & -0.39 x_{32} & +  3.16 x_{4} & -0.04 x_{17} & -9.01 x_{6} & +  2.89 x_{24} & -1.45 x_{18} & -0.47 x_{29} & -0.68 x_{21} & -5.33 x_{11} & + 27.71 x_{12} & + 10.95 x_{13} & +  0.03 x_{20} & + 10.13 x_{15}\\
 x_{31}   &  47.269676415 & -9.98 x_{1} & -14.55 x_{2} & +  0.64 x_{32} & -4.12 x_{4} & +  0.05 x_{17} & -1.96 x_{6} & +  0.49 x_{24} & -0.11 x_{18} & +  0.30 x_{29} & +  0.42 x_{21} & +  0.06 x_{11} & -14.77 x_{12} & + 15.76 x_{13} & -1.32 x_{20} & -13.24 x_{15}\\
 x_{22}   &  13.4070249445 & -64.60 x_{1} & -37.76 x_{2} & +  0.22 x_{32} & + 17.19 x_{4} & -0.55 x_{17} & -10.44 x_{6} & +  3.23 x_{24} & -2.84 x_{18} & -0.27 x_{29} & -1.09 x_{21} & -5.57 x_{11} & + 20.32 x_{12} & + 17.83 x_{13} & +  0.12 x_{20} & +  6.86 x_{15}\\
\hline
z    &  -4.19024280435 & -24.27 x_{1} & -16.48 x_{2} & +  0.35 x_{32} & +  4.76 x_{4} & -0.08 x_{17} & -1.45 x_{6} & +  1.49 x_{24} & -0.99 x_{18} & -0.38 x_{29} & -0.30 x_{21} & -10.78 x_{11} & + 19.54 x_{12} & + 16.03 x_{13} & +  0.29 x_{20} & +  2.00 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  67.4672017368 & + 39.07 x_{1} & + 30.75 x_{2} & -0.91 x_{32} & +  3.55 x_{5} & +  0.24 x_{17} & + 10.93 x_{6} & -3.93 x_{24} & +  1.98 x_{18} & +  1.18 x_{29} & -0.02 x_{21} & +  6.19 x_{11} & -23.89 x_{12} & -40.40 x_{13} & -0.41 x_{20} & -15.60 x_{15}\\
 x_{14}   &  0.198100486088 & +  0.33 x_{1} & +  1.63 x_{2} & +  0.07 x_{32} & +  0.30 x_{5} & +  0.02 x_{17} & -0.95 x_{6} & -0.02 x_{24} & +  0.07 x_{18} & +  0.04 x_{29} & +  0.05 x_{21} & -0.63 x_{11} & -0.78 x_{12} & +  0.69 x_{13} & +  0.00 x_{20} & -0.04 x_{15}\\
 x_{7}   &  0.6902601186 & -0.10 x_{1} & -0.08 x_{2} & +  0.01 x_{32} & +  0.05 x_{5} & +  0.03 x_{17} & -0.08 x_{6} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.05 x_{21} & +  0.15 x_{11} & -0.39 x_{12} & +  0.40 x_{13} & -0.04 x_{20} & -0.70 x_{15}\\
 x_{19}   &  67.8526197372 & -55.70 x_{1} & -18.73 x_{2} & +  0.56 x_{32} & + 27.93 x_{5} & -0.90 x_{17} & -12.99 x_{6} & +  1.94 x_{24} & -2.02 x_{18} & +  0.14 x_{29} & -0.58 x_{21} & -5.75 x_{11} & + 13.51 x_{12} & + 12.00 x_{13} & -0.67 x_{20} & -17.13 x_{15}\\
 x_{10}   &  0.732984619807 & -0.22 x_{1} & +  0.29 x_{2} & +  0.05 x_{32} & +  0.13 x_{5} & +  0.00 x_{17} & +  0.26 x_{6} & +  0.02 x_{24} & -0.03 x_{18} & -0.03 x_{29} & +  0.04 x_{21} & +  0.23 x_{11} & -0.42 x_{12} & +  0.89 x_{13} & -0.01 x_{20} & -0.70 x_{15}\\
 x_{28}   &  11.0075330187 & +  7.28 x_{1} & +  6.45 x_{2} & +  0.45 x_{32} & -11.01 x_{5} & +  0.68 x_{17} & -7.04 x_{6} & -0.06 x_{24} & +  0.39 x_{18} & -0.30 x_{29} & +  0.67 x_{21} & -0.31 x_{11} & -1.23 x_{12} & +  2.41 x_{13} & +  0.21 x_{20} & +  2.41 x_{15}\\
 x_{4}   &  0.123585243328 & +  4.81 x_{1} & +  2.20 x_{2} & -0.06 x_{32} & -2.19 x_{5} & +  0.09 x_{17} & +  0.87 x_{6} & -0.18 x_{24} & +  0.15 x_{18} & -0.05 x_{29} & +  0.03 x_{21} & +  0.90 x_{11} & +  0.25 x_{12} & -2.18 x_{13} & +  0.09 x_{20} & +  1.34 x_{15}\\
 x_{23}   &  8.00428616751 & -16.02 x_{1} & -14.74 x_{2} & -0.17 x_{32} & -0.07 x_{5} & +  0.16 x_{17} & + 12.64 x_{6} & +  0.79 x_{24} & -1.03 x_{18} & -0.77 x_{29} & -0.75 x_{21} & +  0.30 x_{11} & + 12.07 x_{12} & -9.89 x_{13} & +  0.45 x_{20} & +  1.21 x_{15}\\
 x_{3}   &  0.67324383368 & -1.97 x_{1} & -2.70 x_{2} & -0.03 x_{32} & -0.90 x_{5} & +  0.03 x_{17} & +  0.24 x_{6} & +  0.20 x_{24} & -0.12 x_{18} & -0.07 x_{29} & -0.07 x_{21} & -0.41 x_{11} & +  3.10 x_{12} & +  0.52 x_{13} & +  0.05 x_{20} & +  1.13 x_{15}\\
 x_{25}   &  56.3746486427 & -5.75 x_{1} & + 12.10 x_{2} & +  0.89 x_{32} & +  7.85 x_{5} & -1.07 x_{17} & -13.94 x_{6} & +  0.08 x_{24} & +  0.00 x_{18} & +  0.11 x_{29} & +  0.60 x_{21} & -12.02 x_{11} & -22.52 x_{12} & + 17.41 x_{13} & -0.64 x_{20} & -6.57 x_{15}\\
 x_{26}   &  10.4627995919 & + 62.46 x_{1} & + 43.50 x_{2} & -0.72 x_{32} & -24.41 x_{5} & +  1.39 x_{17} & -6.67 x_{6} & -2.04 x_{24} & +  2.64 x_{18} & -0.04 x_{29} & +  1.14 x_{21} & +  4.62 x_{11} & -7.41 x_{12} & -32.92 x_{13} & +  1.44 x_{20} & + 15.81 x_{15}\\
 x_{27}   &  52.0064171882 & -18.30 x_{1} & -32.37 x_{2} & -0.54 x_{32} & -3.46 x_{5} & -0.53 x_{17} & +  6.57 x_{6} & +  1.13 x_{24} & -1.54 x_{18} & -0.44 x_{29} & -1.17 x_{21} & +  0.91 x_{11} & + 27.28 x_{12} & -3.94 x_{13} & +  0.69 x_{20} & +  2.07 x_{15}\\
 x_{8}   &  3.92848914146 & -3.06 x_{1} & -1.44 x_{2} & +  0.05 x_{32} & +  2.00 x_{5} & -0.07 x_{17} & -0.04 x_{6} & +  0.04 x_{24} & -0.06 x_{18} & +  0.07 x_{29} & -0.03 x_{21} & -0.60 x_{11} & -1.71 x_{12} & +  0.88 x_{13} & -0.14 x_{20} & -1.75 x_{15}\\
 x_{9}   &  0.906827038355 & +  3.60 x_{1} & +  2.63 x_{2} & -0.03 x_{32} & -1.40 x_{5} & +  0.08 x_{17} & +  0.42 x_{6} & -0.17 x_{24} & +  0.10 x_{18} & +  0.02 x_{29} & +  0.01 x_{21} & +  0.56 x_{11} & +  0.04 x_{12} & -1.93 x_{13} & +  0.11 x_{20} & +  1.02 x_{15}\\
 x_{30}   &  1.45826716617 & -24.51 x_{1} & -41.42 x_{2} & -0.59 x_{32} & -6.91 x_{5} & +  0.25 x_{17} & -6.26 x_{6} & +  2.32 x_{24} & -0.97 x_{18} & -0.64 x_{29} & -0.57 x_{21} & -2.48 x_{11} & + 28.48 x_{12} & +  4.07 x_{13} & +  0.31 x_{20} & + 14.37 x_{15}\\
 x_{31}   &  46.760269819 & -29.82 x_{1} & -23.60 x_{2} & +  0.90 x_{32} & +  9.03 x_{5} & -0.33 x_{17} & -5.54 x_{6} & +  1.23 x_{24} & -0.74 x_{18} & +  0.52 x_{29} & +  0.28 x_{21} & -3.66 x_{11} & -15.78 x_{12} & + 24.74 x_{13} & -1.68 x_{20} & -18.77 x_{15}\\
 x_{22}   &  15.5314058447 & + 18.12 x_{1} & +  0.02 x_{2} & -0.84 x_{32} & -37.66 x_{5} & +  1.06 x_{17} & +  4.51 x_{6} & +  0.15 x_{24} & -0.22 x_{18} & -1.20 x_{29} & -0.52 x_{21} & +  9.95 x_{11} & + 24.54 x_{12} & -19.63 x_{13} & +  1.63 x_{20} & + 29.92 x_{15}\\
\hline
z    &  -3.60197440811 & -1.36 x_{1} & -6.02 x_{2} & +  0.05 x_{32} & -10.43 x_{5} & +  0.36 x_{17} & +  2.69 x_{6} & +  0.64 x_{24} & -0.27 x_{18} & -0.64 x_{29} & -0.14 x_{21} & -6.48 x_{11} & + 20.71 x_{12} & +  5.65 x_{13} & +  0.71 x_{20} & +  8.38 x_{15}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  69.7424626894 & + 42.90 x_{1} & + 49.48 x_{2} & -0.15 x_{32} & +  7.04 x_{5} & +  0.47 x_{17} & -11.49 x_{14} & -4.13 x_{24} & +  2.80 x_{18} & +  1.70 x_{29} & +  0.58 x_{21} & -1.02 x_{11} & -32.82 x_{12} & -32.46 x_{13} & -0.39 x_{20} & -16.11 x_{15}\\
 x_{6}   &  0.208199305156 & +  0.35 x_{1} & +  1.71 x_{2} & +  0.07 x_{32} & +  0.32 x_{5} & +  0.02 x_{17} & -1.05 x_{14} & -0.02 x_{24} & +  0.08 x_{18} & +  0.05 x_{29} & +  0.05 x_{21} & -0.66 x_{11} & -0.82 x_{12} & +  0.73 x_{13} & +  0.00 x_{20} & -0.05 x_{15}\\
 x_{7}   &  0.673225410484 & -0.13 x_{1} & -0.22 x_{2} & +  0.00 x_{32} & +  0.02 x_{5} & +  0.02 x_{17} & +  0.09 x_{14} & +  0.03 x_{24} & +  0.00 x_{18} & +  0.02 x_{29} & +  0.04 x_{21} & +  0.20 x_{11} & -0.32 x_{12} & +  0.34 x_{13} & -0.04 x_{20} & -0.70 x_{15}\\
 x_{19}   &  65.1480988684 & -60.25 x_{1} & -40.99 x_{2} & -0.34 x_{32} & + 23.78 x_{5} & -1.17 x_{17} & + 13.65 x_{14} & +  2.18 x_{24} & -3.00 x_{18} & -0.47 x_{29} & -1.29 x_{21} & +  2.82 x_{11} & + 24.12 x_{12} & +  2.56 x_{13} & -0.69 x_{20} & -16.53 x_{15}\\
 x_{10}   &  0.788086860492 & -0.13 x_{1} & +  0.75 x_{2} & +  0.07 x_{32} & +  0.22 x_{5} & +  0.01 x_{17} & -0.28 x_{14} & +  0.02 x_{24} & -0.01 x_{18} & -0.01 x_{29} & +  0.06 x_{21} & +  0.05 x_{11} & -0.64 x_{12} & +  1.08 x_{13} & -0.01 x_{20} & -0.71 x_{15}\\
 x_{28}   &  9.54225721547 & +  4.81 x_{1} & -5.61 x_{2} & -0.04 x_{32} & -13.26 x_{5} & +  0.53 x_{17} & +  7.40 x_{14} & +  0.07 x_{24} & -0.14 x_{18} & -0.63 x_{29} & +  0.29 x_{21} & +  4.33 x_{11} & +  4.52 x_{12} & -2.71 x_{13} & +  0.20 x_{20} & +  2.74 x_{15}\\
 x_{4}   &  0.304602244094 & +  5.12 x_{1} & +  3.69 x_{2} & -0.00 x_{32} & -1.91 x_{5} & +  0.11 x_{17} & -0.91 x_{14} & -0.19 x_{24} & +  0.22 x_{18} & -0.01 x_{29} & +  0.08 x_{21} & +  0.33 x_{11} & -0.46 x_{12} & -1.55 x_{13} & +  0.09 x_{20} & +  1.30 x_{15}\\
 x_{23}   &  10.634926307 & -11.59 x_{1} & +  6.92 x_{2} & +  0.71 x_{32} & +  3.97 x_{5} & +  0.41 x_{17} & -13.28 x_{14} & +  0.56 x_{24} & -0.08 x_{18} & -0.17 x_{29} & -0.06 x_{21} & -8.03 x_{11} & +  1.75 x_{12} & -0.71 x_{13} & +  0.47 x_{20} & +  0.62 x_{15}\\
 x_{3}   &  0.723596943338 & -1.88 x_{1} & -2.28 x_{2} & -0.01 x_{32} & -0.82 x_{5} & +  0.04 x_{17} & -0.25 x_{14} & +  0.19 x_{24} & -0.10 x_{18} & -0.06 x_{29} & -0.06 x_{21} & -0.56 x_{11} & +  2.91 x_{12} & +  0.69 x_{13} & +  0.05 x_{20} & +  1.12 x_{15}\\
 x_{25}   &  53.4722087267 & -10.64 x_{1} & -11.79 x_{2} & -0.08 x_{32} & +  3.40 x_{5} & -1.36 x_{17} & + 14.65 x_{14} & +  0.34 x_{24} & -1.05 x_{18} & -0.55 x_{29} & -0.16 x_{21} & -2.83 x_{11} & -11.13 x_{12} & +  7.29 x_{13} & -0.67 x_{20} & -5.92 x_{15}\\
 x_{26}   &  9.07486594164 & + 60.13 x_{1} & + 32.08 x_{2} & -1.18 x_{32} & -26.54 x_{5} & +  1.25 x_{17} & +  7.01 x_{14} & -1.92 x_{24} & +  2.14 x_{18} & -0.36 x_{29} & +  0.78 x_{21} & +  9.02 x_{11} & -1.97 x_{12} & -37.77 x_{13} & +  1.43 x_{20} & + 16.11 x_{15}\\
 x_{27}   &  53.3748942407 & -16.00 x_{1} & -21.11 x_{2} & -0.09 x_{32} & -1.36 x_{5} & -0.40 x_{17} & -6.91 x_{14} & +  1.01 x_{24} & -1.05 x_{18} & -0.13 x_{29} & -0.81 x_{21} & -3.42 x_{11} & + 21.91 x_{12} & +  0.83 x_{13} & +  0.70 x_{20} & +  1.77 x_{15}\\
 x_{8}   &  3.92062395605 & -3.08 x_{1} & -1.50 x_{2} & +  0.04 x_{32} & +  1.99 x_{5} & -0.07 x_{17} & +  0.04 x_{14} & +  0.04 x_{24} & -0.07 x_{18} & +  0.07 x_{29} & -0.04 x_{21} & -0.58 x_{11} & -1.68 x_{12} & +  0.85 x_{13} & -0.14 x_{20} & -1.75 x_{15}\\
 x_{9}   &  0.993769223559 & +  3.75 x_{1} & +  3.35 x_{2} & +  0.00 x_{32} & -1.26 x_{5} & +  0.09 x_{17} & -0.44 x_{14} & -0.18 x_{24} & +  0.13 x_{18} & +  0.04 x_{29} & +  0.03 x_{21} & +  0.28 x_{11} & -0.30 x_{12} & -1.63 x_{13} & +  0.11 x_{20} & +  1.00 x_{15}\\
 x_{30}   &  0.154155413069 & -26.70 x_{1} & -52.15 x_{2} & -1.02 x_{32} & -8.91 x_{5} & +  0.12 x_{17} & +  6.58 x_{14} & +  2.44 x_{24} & -1.44 x_{18} & -0.94 x_{29} & -0.91 x_{21} & +  1.65 x_{11} & + 33.60 x_{12} & -0.48 x_{13} & +  0.30 x_{20} & + 14.66 x_{15}\\
 x_{31}   &  45.6069982473 & -31.76 x_{1} & -33.10 x_{2} & +  0.51 x_{32} & +  7.26 x_{5} & -0.45 x_{17} & +  5.82 x_{14} & +  1.33 x_{24} & -1.16 x_{18} & +  0.26 x_{29} & -0.02 x_{21} & -0.00 x_{11} & -11.25 x_{12} & + 20.72 x_{13} & -1.69 x_{20} & -18.51 x_{15}\\
 x_{22}   &  16.4699711531 & + 19.70 x_{1} & +  7.74 x_{2} & -0.53 x_{32} & -36.22 x_{5} & +  1.15 x_{17} & -4.74 x_{14} & +  0.07 x_{24} & +  0.12 x_{18} & -0.98 x_{29} & -0.27 x_{21} & +  6.98 x_{11} & + 20.85 x_{12} & -16.36 x_{13} & +  1.63 x_{20} & + 29.71 x_{15}\\
\hline
z    &  -3.04281654097 & -0.42 x_{1} & -1.42 x_{2} & +  0.24 x_{32} & -9.57 x_{5} & +  0.42 x_{17} & -2.82 x_{14} & +  0.59 x_{24} & -0.07 x_{18} & -0.51 x_{29} & +  0.01 x_{21} & -8.25 x_{11} & + 18.52 x_{12} & +  7.61 x_{13} & +  0.71 x_{20} & +  8.26 x_{15}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  61.3780777816 & + 28.81 x_{1} & -19.37 x_{2} & -2.95 x_{32} & -5.79 x_{5} & -0.36 x_{17} & + 30.74 x_{14} & -3.39 x_{24} & -0.22 x_{18} & -0.20 x_{29} & -1.62 x_{21} & + 25.47 x_{11} & + 40.17 x_{6} & -61.64 x_{13} & -0.46 x_{20} & -14.25 x_{15}\\
 x_{12}   &  0.254845916107 & +  0.43 x_{1} & +  2.10 x_{2} & +  0.09 x_{32} & +  0.39 x_{5} & +  0.03 x_{17} & -1.29 x_{14} & -0.02 x_{24} & +  0.09 x_{18} & +  0.06 x_{29} & +  0.07 x_{21} & -0.81 x_{11} & -1.22 x_{6} & +  0.89 x_{13} & +  0.00 x_{20} & -0.06 x_{15}\\
 x_{7}   &  0.591681174579 & -0.27 x_{1} & -0.89 x_{2} & -0.03 x_{32} & -0.11 x_{5} & +  0.02 x_{17} & +  0.50 x_{14} & +  0.04 x_{24} & -0.03 x_{18} & +  0.00 x_{29} & +  0.02 x_{21} & +  0.46 x_{11} & +  0.39 x_{6} & +  0.06 x_{13} & -0.04 x_{20} & -0.68 x_{15}\\
 x_{19}   &  71.294407125 & -49.90 x_{1} & +  9.60 x_{2} & +  1.72 x_{32} & + 33.20 x_{5} & -0.57 x_{17} & -17.37 x_{14} & +  1.63 x_{24} & -0.78 x_{18} & +  0.93 x_{29} & +  0.32 x_{21} & -16.65 x_{11} & -29.52 x_{6} & + 24.00 x_{13} & -0.64 x_{20} & -17.90 x_{15}\\
 x_{10}   &  0.625200160417 & -0.40 x_{1} & -0.59 x_{2} & +  0.01 x_{32} & -0.03 x_{5} & -0.01 x_{17} & +  0.54 x_{14} & +  0.03 x_{24} & -0.07 x_{18} & -0.05 x_{29} & +  0.01 x_{21} & +  0.57 x_{11} & +  0.78 x_{6} & +  0.51 x_{13} & -0.02 x_{20} & -0.68 x_{15}\\
 x_{28}   &  10.6934902501 & +  6.75 x_{1} & +  3.86 x_{2} & +  0.35 x_{32} & -11.50 x_{5} & +  0.65 x_{17} & +  1.59 x_{14} & -0.03 x_{24} & +  0.27 x_{18} & -0.37 x_{29} & +  0.59 x_{21} & +  0.69 x_{11} & -5.53 x_{6} & +  1.31 x_{13} & +  0.21 x_{20} & +  2.48 x_{15}\\
 x_{4}   &  0.186121087879 & +  4.92 x_{1} & +  2.71 x_{2} & -0.04 x_{32} & -2.09 x_{5} & +  0.10 x_{17} & -0.32 x_{14} & -0.18 x_{24} & +  0.18 x_{18} & -0.04 x_{29} & +  0.05 x_{21} & +  0.70 x_{11} & +  0.57 x_{6} & -1.96 x_{13} & +  0.09 x_{20} & +  1.33 x_{15}\\
 x_{23}   &  11.0813648352 & -10.84 x_{1} & + 10.59 x_{2} & +  0.86 x_{32} & +  4.65 x_{5} & +  0.46 x_{17} & -15.53 x_{14} & +  0.52 x_{24} & +  0.08 x_{18} & -0.07 x_{29} & +  0.05 x_{21} & -9.44 x_{11} & -2.14 x_{6} & +  0.85 x_{13} & +  0.48 x_{20} & +  0.52 x_{15}\\
 x_{3}   &  1.46398464825 & -0.64 x_{1} & +  3.81 x_{2} & +  0.23 x_{32} & +  0.31 x_{5} & +  0.11 x_{17} & -3.99 x_{14} & +  0.13 x_{24} & +  0.16 x_{18} & +  0.11 x_{29} & +  0.13 x_{21} & -2.91 x_{11} & -3.56 x_{6} & +  3.27 x_{13} & +  0.05 x_{20} & +  0.96 x_{15}\\
 x_{25}   &  50.6347912335 & -15.42 x_{1} & -35.15 x_{2} & -1.03 x_{32} & -0.95 x_{5} & -1.64 x_{17} & + 28.97 x_{14} & +  0.59 x_{24} & -2.07 x_{18} & -1.20 x_{29} & -0.91 x_{21} & +  6.15 x_{11} & + 13.63 x_{6} & -2.61 x_{13} & -0.69 x_{20} & -5.29 x_{15}\\
 x_{26}   &  8.5737431655 & + 59.28 x_{1} & + 27.95 x_{2} & -1.35 x_{32} & -27.30 x_{5} & +  1.20 x_{17} & +  9.54 x_{14} & -1.88 x_{24} & +  1.96 x_{18} & -0.47 x_{29} & +  0.65 x_{21} & + 10.61 x_{11} & +  2.41 x_{6} & -39.52 x_{13} & +  1.43 x_{20} & + 16.23 x_{15}\\
 x_{27}   &  58.9583837037 & -6.59 x_{1} & + 24.85 x_{2} & +  1.78 x_{32} & +  7.20 x_{5} & +  0.15 x_{17} & -35.09 x_{14} & +  0.51 x_{24} & +  0.97 x_{18} & +  1.14 x_{29} & +  0.65 x_{21} & -21.11 x_{11} & -26.82 x_{6} & + 20.31 x_{13} & +  0.75 x_{20} & +  0.52 x_{15}\\
 x_{8}   &  3.49187353697 & -3.80 x_{1} & -5.03 x_{2} & -0.10 x_{32} & +  1.33 x_{5} & -0.12 x_{17} & +  2.20 x_{14} & +  0.08 x_{24} & -0.22 x_{18} & -0.03 x_{29} & -0.15 x_{21} & +  0.78 x_{11} & +  2.06 x_{6} & -0.64 x_{13} & -0.15 x_{20} & -1.66 x_{15}\\
 x_{9}   &  0.918179365459 & +  3.62 x_{1} & +  2.72 x_{2} & -0.02 x_{32} & -1.38 x_{5} & +  0.09 x_{17} & -0.06 x_{14} & -0.17 x_{24} & +  0.10 x_{18} & +  0.02 x_{29} & +  0.01 x_{21} & +  0.52 x_{11} & +  0.36 x_{6} & -1.89 x_{13} & +  0.11 x_{20} & +  1.02 x_{15}\\
 x_{30}   &  8.7161072964 & -12.28 x_{1} & + 18.32 x_{2} & +  1.84 x_{32} & +  4.21 x_{5} & +  0.97 x_{17} & -36.64 x_{14} & +  1.68 x_{24} & +  1.65 x_{18} & +  1.01 x_{29} & +  1.33 x_{21} & -25.47 x_{11} & -41.12 x_{6} & + 29.39 x_{13} & +  0.37 x_{20} & + 12.75 x_{15}\\
 x_{31}   &  42.7395419438 & -36.59 x_{1} & -56.70 x_{2} & -0.45 x_{32} & +  2.87 x_{5} & -0.73 x_{17} & + 20.30 x_{14} & +  1.59 x_{24} & -2.19 x_{18} & -0.39 x_{29} & -0.78 x_{21} & +  9.08 x_{11} & + 13.77 x_{6} & + 10.71 x_{13} & -1.72 x_{20} & -17.88 x_{15}\\
 x_{22}   &  21.7841415532 & + 28.65 x_{1} & + 51.48 x_{2} & +  1.25 x_{32} & -28.07 x_{5} & +  1.68 x_{17} & -31.56 x_{14} & -0.40 x_{24} & +  2.04 x_{18} & +  0.22 x_{29} & +  1.12 x_{21} & -9.85 x_{11} & -25.52 x_{6} & +  2.18 x_{13} & +  1.68 x_{20} & + 28.53 x_{15}\\
\hline
z    &  1.67575686298 & +  7.53 x_{1} & + 37.42 x_{2} & +  1.82 x_{32} & -2.34 x_{5} & +  0.88 x_{17} & -26.64 x_{14} & +  0.18 x_{24} & +  1.64 x_{18} & +  0.56 x_{29} & +  1.24 x_{21} & -23.20 x_{11} & -22.66 x_{6} & + 24.07 x_{13} & +  0.75 x_{20} & +  7.21 x_{15}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  81.8220129546 & -2.35 x_{30} & + 23.60 x_{2} & +  1.37 x_{32} & +  4.10 x_{5} & +  1.91 x_{17} & -55.20 x_{14} & +  0.55 x_{24} & +  3.65 x_{18} & +  2.17 x_{29} & +  1.51 x_{21} & -34.26 x_{11} & -56.28 x_{6} & +  7.30 x_{13} & +  0.41 x_{20} & + 15.65 x_{15}\\
 x_{12}   &  0.559465450245 & -0.03 x_{30} & +  2.74 x_{2} & +  0.15 x_{32} & +  0.54 x_{5} & +  0.06 x_{17} & -2.57 x_{14} & +  0.04 x_{24} & +  0.15 x_{18} & +  0.09 x_{29} & +  0.11 x_{21} & -1.70 x_{11} & -2.66 x_{6} & +  1.92 x_{13} & +  0.02 x_{20} & +  0.39 x_{15}\\
 x_{7}   &  0.399814277734 & +  0.02 x_{30} & -1.29 x_{2} & -0.07 x_{32} & -0.20 x_{5} & -0.00 x_{17} & +  1.30 x_{14} & +  0.00 x_{24} & -0.06 x_{18} & -0.02 x_{29} & -0.01 x_{21} & +  1.02 x_{11} & +  1.30 x_{6} & -0.59 x_{13} & -0.05 x_{20} & -0.96 x_{15}\\
 x_{19}   &  35.8855405357 & +  4.06 x_{30} & -64.83 x_{2} & -5.77 x_{32} & + 16.08 x_{5} & -4.49 x_{17} & + 131.46 x_{14} & -5.20 x_{24} & -7.48 x_{18} & -3.17 x_{29} & -5.10 x_{21} & + 86.82 x_{11} & + 137.54 x_{6} & -95.40 x_{13} & -2.15 x_{20} & -69.69 x_{15}\\
 x_{10}   &  0.34118005908 & +  0.03 x_{30} & -1.19 x_{2} & -0.05 x_{32} & -0.17 x_{5} & -0.04 x_{17} & +  1.74 x_{14} & -0.02 x_{24} & -0.12 x_{18} & -0.08 x_{29} & -0.03 x_{21} & +  1.40 x_{11} & +  2.12 x_{6} & -0.45 x_{13} & -0.03 x_{20} & -1.09 x_{15}\\
 x_{28}   &  15.4810938142 & -0.55 x_{30} & + 13.93 x_{2} & +  1.36 x_{32} & -9.18 x_{5} & +  1.18 x_{17} & -18.54 x_{14} & +  0.89 x_{24} & +  1.18 x_{18} & +  0.18 x_{29} & +  1.32 x_{21} & -13.30 x_{11} & -28.12 x_{6} & + 17.45 x_{13} & +  0.41 x_{20} & +  9.48 x_{15}\\
 x_{4}   &  3.67593584386 & -0.40 x_{30} & + 10.05 x_{2} & +  0.70 x_{32} & -0.41 x_{5} & +  0.49 x_{17} & -14.98 x_{14} & +  0.49 x_{24} & +  0.84 x_{18} & +  0.36 x_{29} & +  0.58 x_{21} & -9.49 x_{11} & -15.90 x_{6} & +  9.81 x_{13} & +  0.24 x_{20} & +  6.43 x_{15}\\
 x_{23}   &  3.38868087781 & +  0.88 x_{30} & -5.58 x_{2} & -0.77 x_{32} & +  0.93 x_{5} & -0.39 x_{17} & + 16.80 x_{14} & -0.97 x_{24} & -1.38 x_{18} & -0.96 x_{29} & -1.12 x_{21} & + 13.03 x_{11} & + 34.15 x_{6} & -25.10 x_{13} & +  0.15 x_{20} & -10.73 x_{15}\\
 x_{3}   &  1.01266323786 & +  0.05 x_{30} & +  2.87 x_{2} & +  0.14 x_{32} & +  0.09 x_{5} & +  0.06 x_{17} & -2.09 x_{14} & +  0.04 x_{24} & +  0.08 x_{18} & +  0.05 x_{29} & +  0.06 x_{21} & -1.59 x_{11} & -1.43 x_{6} & +  1.75 x_{13} & +  0.03 x_{20} & +  0.30 x_{15}\\
 x_{25}   &  39.6951417585 & +  1.26 x_{30} & -58.14 x_{2} & -3.34 x_{32} & -6.24 x_{5} & -2.85 x_{17} & + 74.96 x_{14} & -1.52 x_{24} & -4.14 x_{18} & -2.46 x_{29} & -2.58 x_{21} & + 38.12 x_{11} & + 65.24 x_{6} & -39.50 x_{13} & -1.16 x_{20} & -21.29 x_{15}\\
 x_{26}   &  50.641653013 & -4.83 x_{30} & + 116.38 x_{2} & +  7.54 x_{32} & -6.96 x_{5} & +  5.86 x_{17} & -167.29 x_{14} & +  6.24 x_{24} & +  9.92 x_{18} & +  4.40 x_{29} & +  7.09 x_{21} & -112.31 x_{11} & -196.08 x_{6} & + 102.35 x_{13} & +  3.21 x_{20} & + 77.76 x_{15}\\
 x_{27}   &  54.2812233422 & +  0.54 x_{30} & + 15.02 x_{2} & +  0.80 x_{32} & +  4.94 x_{5} & -0.37 x_{17} & -15.43 x_{14} & -0.39 x_{24} & +  0.09 x_{18} & +  0.60 x_{29} & -0.06 x_{21} & -7.44 x_{11} & -4.75 x_{6} & +  4.54 x_{13} & +  0.55 x_{20} & -6.32 x_{15}\\
 x_{8}   &  0.796816396768 & +  0.31 x_{30} & -10.70 x_{2} & -0.67 x_{32} & +  0.03 x_{5} & -0.41 x_{17} & + 13.53 x_{14} & -0.44 x_{24} & -0.73 x_{18} & -0.34 x_{29} & -0.56 x_{21} & +  8.66 x_{11} & + 14.77 x_{6} & -9.73 x_{13} & -0.26 x_{20} & -5.60 x_{15}\\
 x_{9}   &  3.48969772338 & -0.30 x_{30} & +  8.13 x_{2} & +  0.52 x_{32} & -0.14 x_{5} & +  0.37 x_{17} & -10.87 x_{14} & +  0.32 x_{24} & +  0.59 x_{18} & +  0.32 x_{29} & +  0.41 x_{21} & -6.99 x_{11} & -11.77 x_{6} & +  6.78 x_{13} & +  0.22 x_{20} & +  4.78 x_{15}\\
 x_{1}   &  0.709625218267 & -0.08 x_{30} & +  1.49 x_{2} & +  0.15 x_{32} & +  0.34 x_{5} & +  0.08 x_{17} & -2.98 x_{14} & +  0.14 x_{24} & +  0.13 x_{18} & +  0.08 x_{29} & +  0.11 x_{21} & -2.07 x_{11} & -3.35 x_{6} & +  2.39 x_{13} & +  0.03 x_{20} & +  1.04 x_{15}\\
 x_{31}   &  16.7725363122 & +  2.98 x_{30} & -111.28 x_{2} & -5.94 x_{32} & -9.69 x_{5} & -3.60 x_{17} & + 129.45 x_{14} & -3.42 x_{24} & -7.11 x_{18} & -3.39 x_{29} & -4.75 x_{21} & + 84.95 x_{11} & + 136.29 x_{6} & -76.85 x_{13} & -2.82 x_{20} & -55.86 x_{15}\\
 x_{22}   &  42.118124121 & -2.33 x_{30} & + 94.23 x_{2} & +  5.55 x_{32} & -18.24 x_{5} & +  3.93 x_{17} & -117.04 x_{14} & +  3.53 x_{24} & +  5.89 x_{18} & +  2.58 x_{29} & +  4.24 x_{21} & -69.27 x_{11} & -121.46 x_{6} & + 70.75 x_{13} & +  2.54 x_{20} & + 58.27 x_{15}\\
\hline
z    &  7.02006851119 & -0.61 x_{30} & + 48.66 x_{2} & +  2.95 x_{32} & +  0.25 x_{5} & +  1.47 x_{17} & -49.11 x_{14} & +  1.21 x_{24} & +  2.65 x_{18} & +  1.18 x_{29} & +  2.06 x_{21} & -38.81 x_{11} & -47.88 x_{6} & + 42.09 x_{13} & +  0.98 x_{20} & + 15.02 x_{15}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  83.5804731593 & -1.66 x_{30} & -2.21 x_{8} & -0.11 x_{32} & +  4.16 x_{5} & +  0.99 x_{17} & -25.33 x_{14} & -0.43 x_{24} & +  2.04 x_{18} & +  1.41 x_{29} & +  0.27 x_{21} & -15.16 x_{11} & -23.68 x_{6} & -14.18 x_{13} & -0.17 x_{20} & +  3.30 x_{15}\\
 x_{12}   &  0.7634429575 & +  0.04 x_{30} & -0.26 x_{8} & -0.02 x_{32} & +  0.54 x_{5} & -0.05 x_{17} & +  0.90 x_{14} & -0.08 x_{24} & -0.04 x_{18} & +  0.01 x_{29} & -0.03 x_{21} & +  0.52 x_{11} & +  1.12 x_{6} & -0.57 x_{13} & -0.05 x_{20} & -1.04 x_{15}\\
 x_{7}   &  0.303338437475 & -0.02 x_{30} & +  0.12 x_{8} & +  0.01 x_{32} & -0.20 x_{5} & +  0.05 x_{17} & -0.33 x_{14} & +  0.06 x_{24} & +  0.02 x_{18} & +  0.02 x_{29} & +  0.06 x_{21} & -0.03 x_{11} & -0.49 x_{6} & +  0.59 x_{13} & -0.02 x_{20} & -0.28 x_{15}\\
 x_{19}   &  31.0559299814 & +  2.19 x_{30} & +  6.06 x_{8} & -1.71 x_{32} & + 15.92 x_{5} & -1.98 x_{17} & + 49.44 x_{14} & -2.50 x_{24} & -3.05 x_{18} & -1.10 x_{29} & -1.69 x_{21} & + 34.34 x_{11} & + 47.99 x_{6} & -36.42 x_{13} & -0.57 x_{20} & -35.76 x_{15}\\
 x_{10}   &  0.25241339066 & -0.00 x_{30} & +  0.11 x_{8} & +  0.03 x_{32} & -0.17 x_{5} & +  0.01 x_{17} & +  0.23 x_{14} & +  0.02 x_{24} & -0.04 x_{18} & -0.05 x_{29} & +  0.03 x_{21} & +  0.43 x_{11} & +  0.48 x_{6} & +  0.64 x_{13} & +  0.00 x_{20} & -0.47 x_{15}\\
 x_{28}   &  16.5185242752 & -0.15 x_{30} & -1.30 x_{8} & +  0.49 x_{32} & -9.15 x_{5} & +  0.64 x_{17} & -0.92 x_{14} & +  0.32 x_{24} & +  0.23 x_{18} & -0.26 x_{29} & +  0.59 x_{21} & -2.03 x_{11} & -8.88 x_{6} & +  4.78 x_{13} & +  0.07 x_{20} & +  2.20 x_{15}\\
 x_{4}   &  4.42450314815 & -0.11 x_{30} & -0.94 x_{8} & +  0.07 x_{32} & -0.38 x_{5} & +  0.10 x_{17} & -2.27 x_{14} & +  0.07 x_{24} & +  0.15 x_{18} & +  0.04 x_{29} & +  0.06 x_{21} & -1.36 x_{11} & -2.02 x_{6} & +  0.66 x_{13} & -0.01 x_{20} & +  1.17 x_{15}\\
 x_{23}   &  2.97301112529 & +  0.72 x_{30} & +  0.52 x_{8} & -0.42 x_{32} & +  0.92 x_{5} & -0.18 x_{17} & +  9.74 x_{14} & -0.73 x_{24} & -1.00 x_{18} & -0.78 x_{29} & -0.83 x_{21} & +  8.52 x_{11} & + 26.44 x_{6} & -20.02 x_{13} & +  0.29 x_{20} & -7.81 x_{15}\\
 x_{3}   &  1.22610809357 & +  0.13 x_{30} & -0.27 x_{8} & -0.04 x_{32} & +  0.10 x_{5} & -0.05 x_{17} & +  1.53 x_{14} & -0.08 x_{24} & -0.12 x_{18} & -0.04 x_{29} & -0.09 x_{21} & +  0.73 x_{11} & +  2.53 x_{6} & -0.85 x_{13} & -0.04 x_{20} & -1.20 x_{15}\\
 x_{25}   &  35.3634599445 & -0.43 x_{30} & +  5.44 x_{8} & +  0.30 x_{32} & -6.38 x_{5} & -0.60 x_{17} & +  1.39 x_{14} & +  0.89 x_{24} & -0.16 x_{18} & -0.61 x_{29} & +  0.47 x_{21} & -8.94 x_{11} & -15.08 x_{6} & + 13.40 x_{13} & +  0.26 x_{20} & +  9.14 x_{15}\\
 x_{26}   &  59.3116045186 & -1.46 x_{30} & -10.88 x_{8} & +  0.26 x_{32} & -6.67 x_{5} & +  1.36 x_{17} & -20.05 x_{14} & +  1.40 x_{24} & +  1.96 x_{18} & +  0.68 x_{29} & +  0.98 x_{21} & -18.12 x_{11} & -35.31 x_{6} & -3.54 x_{13} & +  0.38 x_{20} & + 16.85 x_{15}\\
 x_{27}   &  55.4001569133 & +  0.97 x_{30} & -1.40 x_{8} & -0.14 x_{32} & +  4.98 x_{5} & -0.95 x_{17} & +  3.57 x_{14} & -1.01 x_{24} & -0.94 x_{18} & +  0.12 x_{29} & -0.85 x_{21} & +  4.72 x_{11} & + 16.00 x_{6} & -9.13 x_{13} & +  0.18 x_{20} & -14.18 x_{15}\\
 x_{2}   &  0.0744991764375 & +  0.03 x_{30} & -0.09 x_{8} & -0.06 x_{32} & +  0.00 x_{5} & -0.04 x_{17} & +  1.27 x_{14} & -0.04 x_{24} & -0.07 x_{18} & -0.03 x_{29} & -0.05 x_{21} & +  0.81 x_{11} & +  1.38 x_{6} & -0.91 x_{13} & -0.02 x_{20} & -0.52 x_{15}\\
 x_{9}   &  4.09538105883 & -0.06 x_{30} & -0.76 x_{8} & +  0.01 x_{32} & -0.12 x_{5} & +  0.06 x_{17} & -0.58 x_{14} & -0.01 x_{24} & +  0.04 x_{18} & +  0.06 x_{29} & -0.02 x_{21} & -0.41 x_{11} & -0.54 x_{6} & -0.62 x_{13} & +  0.02 x_{20} & +  0.52 x_{15}\\
 x_{1}   &  0.820748578202 & -0.04 x_{30} & -0.14 x_{8} & +  0.06 x_{32} & +  0.35 x_{5} & +  0.02 x_{17} & -1.10 x_{14} & +  0.07 x_{24} & +  0.03 x_{18} & +  0.03 x_{29} & +  0.03 x_{21} & -0.87 x_{11} & -1.29 x_{6} & +  1.04 x_{13} & -0.01 x_{20} & +  0.26 x_{15}\\
 x_{31}   &  8.48216734517 & -0.24 x_{30} & + 10.40 x_{8} & +  1.03 x_{32} & -9.97 x_{5} & +  0.70 x_{17} & -11.35 x_{14} & +  1.20 x_{24} & +  0.50 x_{18} & +  0.16 x_{29} & +  1.09 x_{21} & -5.12 x_{11} & -17.44 x_{6} & + 24.39 x_{13} & -0.11 x_{20} & +  2.39 x_{15}\\
 x_{22}   &  49.1378622268 & +  0.39 x_{30} & -8.81 x_{8} & -0.35 x_{32} & -18.00 x_{5} & +  0.28 x_{17} & +  2.18 x_{14} & -0.39 x_{24} & -0.55 x_{18} & -0.43 x_{29} & -0.71 x_{21} & +  7.00 x_{11} & +  8.70 x_{6} & -14.98 x_{13} & +  0.25 x_{20} & +  8.95 x_{15}\\
\hline
z    &  10.6448728184 & +  0.79 x_{30} & -4.55 x_{8} & -0.09 x_{32} & +  0.37 x_{5} & -0.41 x_{17} & + 12.45 x_{14} & -0.82 x_{24} & -0.68 x_{18} & -0.38 x_{29} & -0.49 x_{21} & +  0.57 x_{11} & + 19.33 x_{6} & -2.18 x_{13} & -0.21 x_{20} & -10.44 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  87.1193418118 & -1.76 x_{30} & +  2.13 x_{8} & +  0.32 x_{32} & -0.42 x_{31} & +  1.29 x_{17} & -30.07 x_{14} & +  0.07 x_{24} & +  2.25 x_{18} & +  1.48 x_{29} & +  0.73 x_{21} & -17.30 x_{11} & -30.95 x_{6} & -4.00 x_{13} & -0.21 x_{20} & +  4.30 x_{15}\\
 x_{12}   &  1.22699454107 & +  0.03 x_{30} & +  0.31 x_{8} & +  0.03 x_{32} & -0.05 x_{31} & -0.01 x_{17} & +  0.28 x_{14} & -0.01 x_{24} & -0.01 x_{18} & +  0.01 x_{29} & +  0.03 x_{21} & +  0.24 x_{11} & +  0.17 x_{6} & +  0.76 x_{13} & -0.06 x_{20} & -0.91 x_{15}\\
 x_{7}   &  0.131408691667 & -0.01 x_{30} & -0.09 x_{8} & -0.01 x_{32} & +  0.02 x_{31} & +  0.03 x_{17} & -0.10 x_{14} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.04 x_{21} & +  0.07 x_{11} & -0.14 x_{6} & +  0.09 x_{13} & -0.01 x_{20} & -0.33 x_{15}\\
 x_{19}   &  44.6007747806 & +  1.81 x_{30} & + 22.68 x_{8} & -0.07 x_{32} & -1.60 x_{31} & -0.86 x_{17} & + 31.32 x_{14} & -0.58 x_{24} & -2.25 x_{18} & -0.85 x_{29} & +  0.05 x_{21} & + 26.17 x_{11} & + 20.15 x_{6} & +  2.53 x_{13} & -0.74 x_{20} & -31.94 x_{15}\\
 x_{10}   &  0.104881666306 & +  0.00 x_{30} & -0.07 x_{8} & +  0.01 x_{32} & +  0.02 x_{31} & -0.01 x_{17} & +  0.43 x_{14} & +  0.00 x_{24} & -0.05 x_{18} & -0.05 x_{29} & +  0.01 x_{21} & +  0.52 x_{11} & +  0.78 x_{6} & +  0.21 x_{13} & +  0.00 x_{20} & -0.51 x_{15}\\
 x_{28}   &  8.73694173417 & +  0.07 x_{30} & -10.85 x_{8} & -0.45 x_{32} & +  0.92 x_{31} & -0.00 x_{17} & +  9.49 x_{14} & -0.79 x_{24} & -0.23 x_{18} & -0.41 x_{29} & -0.41 x_{21} & +  2.67 x_{11} & +  7.11 x_{6} & -17.60 x_{13} & +  0.17 x_{20} & +  0.01 x_{15}\\
 x_{4}   &  4.09946057198 & -0.10 x_{30} & -1.34 x_{8} & +  0.03 x_{32} & +  0.04 x_{31} & +  0.07 x_{17} & -1.84 x_{14} & +  0.02 x_{24} & +  0.13 x_{18} & +  0.04 x_{29} & +  0.01 x_{21} & -1.16 x_{11} & -1.35 x_{6} & -0.27 x_{13} & -0.00 x_{20} & +  1.08 x_{15}\\
 x_{23}   &  3.75326399482 & +  0.70 x_{30} & +  1.48 x_{8} & -0.33 x_{32} & -0.09 x_{31} & -0.11 x_{17} & +  8.70 x_{14} & -0.62 x_{24} & -0.95 x_{18} & -0.76 x_{29} & -0.73 x_{21} & +  8.05 x_{11} & + 24.84 x_{6} & -17.78 x_{13} & +  0.28 x_{20} & -7.59 x_{15}\\
 x_{3}   &  1.31261039622 & +  0.13 x_{30} & -0.16 x_{8} & -0.03 x_{32} & -0.01 x_{31} & -0.04 x_{17} & +  1.41 x_{14} & -0.06 x_{24} & -0.11 x_{18} & -0.04 x_{29} & -0.08 x_{21} & +  0.68 x_{11} & +  2.35 x_{6} & -0.61 x_{13} & -0.04 x_{20} & -1.18 x_{15}\\
 x_{25}   &  29.9333001064 & -0.27 x_{30} & -1.22 x_{8} & -0.36 x_{32} & +  0.64 x_{31} & -1.05 x_{17} & +  8.66 x_{14} & +  0.12 x_{24} & -0.49 x_{18} & -0.71 x_{29} & -0.23 x_{21} & -5.67 x_{11} & -3.92 x_{6} & -2.22 x_{13} & +  0.33 x_{20} & +  7.62 x_{15}\\
 x_{26}   &  53.6364102525 & -1.30 x_{30} & -17.84 x_{8} & -0.43 x_{32} & +  0.67 x_{31} & +  0.89 x_{17} & -12.46 x_{14} & +  0.59 x_{24} & +  1.63 x_{18} & +  0.58 x_{29} & +  0.25 x_{21} & -14.69 x_{11} & -23.65 x_{6} & -19.86 x_{13} & +  0.45 x_{20} & + 15.25 x_{15}\\
 x_{27}   &  59.6352849028 & +  0.85 x_{30} & +  3.79 x_{8} & +  0.37 x_{32} & -0.50 x_{31} & -0.60 x_{17} & -2.10 x_{14} & -0.41 x_{24} & -0.69 x_{18} & +  0.19 x_{29} & -0.31 x_{21} & +  2.16 x_{11} & +  7.29 x_{6} & +  3.05 x_{13} & +  0.13 x_{20} & -12.99 x_{15}\\
 x_{2}   &  0.0766321238031 & +  0.03 x_{30} & -0.09 x_{8} & -0.06 x_{32} & -0.00 x_{31} & -0.04 x_{17} & +  1.26 x_{14} & -0.04 x_{24} & -0.07 x_{18} & -0.03 x_{29} & -0.05 x_{21} & +  0.81 x_{11} & +  1.38 x_{6} & -0.90 x_{13} & -0.02 x_{20} & -0.52 x_{15}\\
 x_{9}   &  3.99751312251 & -0.06 x_{30} & -0.88 x_{8} & -0.00 x_{32} & +  0.01 x_{31} & +  0.05 x_{17} & -0.45 x_{14} & -0.03 x_{24} & +  0.03 x_{18} & +  0.06 x_{29} & -0.03 x_{21} & -0.35 x_{11} & -0.34 x_{6} & -0.90 x_{13} & +  0.02 x_{20} & +  0.50 x_{15}\\
 x_{1}   &  1.11587113138 & -0.05 x_{30} & +  0.22 x_{8} & +  0.09 x_{32} & -0.03 x_{31} & +  0.05 x_{17} & -1.49 x_{14} & +  0.12 x_{24} & +  0.05 x_{18} & +  0.04 x_{29} & +  0.07 x_{21} & -1.04 x_{11} & -1.89 x_{6} & +  1.88 x_{13} & -0.01 x_{20} & +  0.34 x_{15}\\
 x_{5}   &  0.850797288175 & -0.02 x_{30} & +  1.04 x_{8} & +  0.10 x_{32} & -0.10 x_{31} & +  0.07 x_{17} & -1.14 x_{14} & +  0.12 x_{24} & +  0.05 x_{18} & +  0.02 x_{29} & +  0.11 x_{21} & -0.51 x_{11} & -1.75 x_{6} & +  2.45 x_{13} & -0.01 x_{20} & +  0.24 x_{15}\\
 x_{22}   &  33.8224039456 & +  0.82 x_{30} & -27.60 x_{8} & -2.20 x_{32} & +  1.81 x_{31} & -0.98 x_{17} & + 22.68 x_{14} & -2.57 x_{24} & -1.46 x_{18} & -0.72 x_{29} & -2.68 x_{21} & + 16.25 x_{11} & + 40.18 x_{6} & -59.02 x_{13} & +  0.45 x_{20} & +  4.64 x_{15}\\
\hline
z    &  10.9594434384 & +  0.78 x_{30} & -4.16 x_{8} & -0.06 x_{32} & -0.04 x_{31} & -0.38 x_{17} & + 12.03 x_{14} & -0.77 x_{24} & -0.66 x_{18} & -0.37 x_{29} & -0.45 x_{21} & +  0.38 x_{11} & + 18.69 x_{6} & -1.28 x_{13} & -0.21 x_{20} & -10.36 x_{15}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  72.0624242604 & -1.34 x_{30} & -16.34 x_{8} & -1.50 x_{32} & +  1.36 x_{31} & +  0.04 x_{17} & -9.92 x_{14} & -2.07 x_{24} & +  1.36 x_{18} & +  1.20 x_{29} & -1.21 x_{21} & -8.21 x_{11} & + 17.70 x_{5} & -47.30 x_{13} & -0.02 x_{20} & +  0.06 x_{15}\\
 x_{12}   &  1.30877604381 & +  0.03 x_{30} & +  0.41 x_{8} & +  0.04 x_{32} & -0.06 x_{31} & -0.00 x_{17} & +  0.17 x_{14} & -0.00 x_{24} & -0.01 x_{18} & +  0.02 x_{29} & +  0.04 x_{21} & +  0.19 x_{11} & -0.10 x_{5} & +  0.99 x_{13} & -0.06 x_{20} & -0.89 x_{15}\\
 x_{7}   &  0.0639958500904 & -0.01 x_{30} & -0.17 x_{8} & -0.02 x_{32} & +  0.03 x_{31} & +  0.03 x_{17} & -0.01 x_{14} & +  0.02 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.03 x_{21} & +  0.12 x_{11} & +  0.08 x_{5} & -0.10 x_{13} & -0.01 x_{20} & -0.35 x_{15}\\
 x_{19}   &  54.4020207158 & +  1.53 x_{30} & + 34.70 x_{8} & +  1.12 x_{32} & -2.75 x_{31} & -0.05 x_{17} & + 18.20 x_{14} & +  0.81 x_{24} & -1.67 x_{18} & -0.67 x_{29} & +  1.31 x_{21} & + 20.25 x_{11} & -11.52 x_{5} & + 30.72 x_{13} & -0.87 x_{20} & -29.18 x_{15}\\
 x_{10}   &  0.484197115683 & -0.01 x_{30} & +  0.40 x_{8} & +  0.05 x_{32} & -0.03 x_{31} & +  0.02 x_{17} & -0.08 x_{14} & +  0.06 x_{24} & -0.03 x_{18} & -0.04 x_{29} & +  0.06 x_{21} & +  0.29 x_{11} & -0.45 x_{5} & +  1.30 x_{13} & -0.00 x_{20} & -0.40 x_{15}\\
 x_{28}   &  12.1978376856 & -0.03 x_{30} & -6.60 x_{8} & -0.03 x_{32} & +  0.51 x_{31} & +  0.28 x_{17} & +  4.86 x_{14} & -0.30 x_{24} & -0.03 x_{18} & -0.34 x_{29} & +  0.04 x_{21} & +  0.58 x_{11} & -4.07 x_{5} & -7.64 x_{13} & +  0.13 x_{20} & +  0.98 x_{15}\\
 x_{4}   &  3.4437371186 & -0.08 x_{30} & -2.14 x_{8} & -0.05 x_{32} & +  0.12 x_{31} & +  0.02 x_{17} & -0.96 x_{14} & -0.07 x_{24} & +  0.09 x_{18} & +  0.03 x_{29} & -0.07 x_{21} & -0.77 x_{11} & +  0.77 x_{5} & -2.16 x_{13} & +  0.00 x_{20} & +  0.90 x_{15}\\
 x_{23}   &  15.8372193554 & +  0.36 x_{30} & + 16.30 x_{8} & +  1.14 x_{32} & -1.52 x_{31} & +  0.89 x_{17} & -7.47 x_{14} & +  1.09 x_{24} & -0.24 x_{18} & -0.54 x_{29} & +  0.82 x_{21} & +  0.75 x_{11} & -14.20 x_{5} & + 16.98 x_{13} & +  0.12 x_{20} & -4.19 x_{15}\\
 x_{3}   &  2.45742207317 & +  0.10 x_{30} & +  1.24 x_{8} & +  0.11 x_{32} & -0.15 x_{31} & +  0.05 x_{17} & -0.12 x_{14} & +  0.10 x_{24} & -0.04 x_{18} & -0.02 x_{29} & +  0.07 x_{21} & -0.02 x_{11} & -1.35 x_{5} & +  2.69 x_{13} & -0.05 x_{20} & -0.86 x_{15}\\
 x_{25}   &  28.0287017412 & -0.22 x_{30} & -3.56 x_{8} & -0.59 x_{32} & +  0.86 x_{31} & -1.21 x_{17} & + 11.21 x_{14} & -0.15 x_{24} & -0.60 x_{18} & -0.74 x_{29} & -0.47 x_{21} & -4.52 x_{11} & +  2.24 x_{5} & -7.70 x_{13} & +  0.36 x_{20} & +  7.08 x_{15}\\
 x_{26}   &  42.1326378122 & -0.98 x_{30} & -31.95 x_{8} & -1.82 x_{32} & +  2.03 x_{31} & -0.06 x_{17} & +  2.94 x_{14} & -1.04 x_{24} & +  0.95 x_{18} & +  0.36 x_{29} & -1.23 x_{21} & -7.75 x_{11} & + 13.52 x_{5} & -52.94 x_{13} & +  0.60 x_{20} & + 12.01 x_{15}\\
 x_{27}   &  63.182587232 & +  0.75 x_{30} & +  8.14 x_{8} & +  0.80 x_{32} & -0.92 x_{31} & -0.31 x_{17} & -6.84 x_{14} & +  0.09 x_{24} & -0.48 x_{18} & +  0.26 x_{29} & +  0.15 x_{21} & +  0.02 x_{11} & -4.17 x_{5} & + 13.25 x_{13} & +  0.08 x_{20} & -11.99 x_{15}\\
 x_{2}   &  0.746527258767 & +  0.01 x_{30} & +  0.73 x_{8} & +  0.02 x_{32} & -0.08 x_{31} & +  0.02 x_{17} & +  0.37 x_{14} & +  0.05 x_{24} & -0.03 x_{18} & -0.02 x_{29} & +  0.03 x_{21} & +  0.40 x_{11} & -0.79 x_{5} & +  1.02 x_{13} & -0.03 x_{20} & -0.33 x_{15}\\
 x_{9}   &  3.8332525862 & -0.05 x_{30} & -1.08 x_{8} & -0.02 x_{32} & +  0.03 x_{31} & +  0.03 x_{17} & -0.23 x_{14} & -0.05 x_{24} & +  0.02 x_{18} & +  0.05 x_{29} & -0.05 x_{21} & -0.25 x_{11} & +  0.19 x_{5} & -1.37 x_{13} & +  0.02 x_{20} & +  0.45 x_{15}\\
 x_{1}   &  0.194351719246 & -0.02 x_{30} & -0.91 x_{8} & -0.02 x_{32} & +  0.07 x_{31} & -0.03 x_{17} & -0.26 x_{14} & -0.01 x_{24} & -0.00 x_{18} & +  0.02 x_{29} & -0.05 x_{21} & -0.49 x_{11} & +  1.08 x_{5} & -0.77 x_{13} & +  0.00 x_{20} & +  0.08 x_{15}\\
 x_{6}   &  0.486482363786 & -0.01 x_{30} & +  0.60 x_{8} & +  0.06 x_{32} & -0.06 x_{31} & +  0.04 x_{17} & -0.65 x_{14} & +  0.07 x_{24} & +  0.03 x_{18} & +  0.01 x_{29} & +  0.06 x_{21} & -0.29 x_{11} & -0.57 x_{5} & +  1.40 x_{13} & -0.01 x_{20} & +  0.14 x_{15}\\
 x_{22}   &  53.370561039 & +  0.27 x_{30} & -3.62 x_{8} & +  0.16 x_{32} & -0.50 x_{31} & +  0.63 x_{17} & -3.48 x_{14} & +  0.21 x_{24} & -0.30 x_{18} & -0.35 x_{29} & -0.17 x_{21} & +  4.44 x_{11} & -22.98 x_{5} & -2.80 x_{13} & +  0.19 x_{20} & + 10.15 x_{15}\\
\hline
z    &  20.0505572568 & +  0.53 x_{30} & +  6.99 x_{8} & +  1.04 x_{32} & -1.11 x_{31} & +  0.37 x_{17} & -0.13 x_{14} & +  0.52 x_{24} & -0.12 x_{18} & -0.20 x_{29} & +  0.72 x_{21} & -5.11 x_{11} & -10.69 x_{5} & + 24.87 x_{13} & -0.33 x_{20} & -7.80 x_{15}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  68.5652613765 & -0.97 x_{30} & + 17.99 x_{1} & -1.16 x_{32} & +  0.03 x_{31} & +  0.60 x_{17} & -5.29 x_{14} & -1.81 x_{24} & +  1.44 x_{18} & +  0.79 x_{29} & -0.31 x_{21} & +  0.58 x_{11} & -1.79 x_{5} & -33.53 x_{13} & -0.05 x_{20} & -1.40 x_{15}\\
 x_{12}   &  1.39717853059 & +  0.02 x_{30} & -0.45 x_{1} & +  0.04 x_{32} & -0.03 x_{31} & -0.02 x_{17} & +  0.05 x_{14} & -0.01 x_{24} & -0.01 x_{18} & +  0.03 x_{29} & +  0.02 x_{21} & -0.03 x_{11} & +  0.40 x_{5} & +  0.65 x_{13} & -0.06 x_{20} & -0.85 x_{15}\\
 x_{7}   &  0.0270644363103 & -0.00 x_{30} & +  0.19 x_{1} & -0.01 x_{32} & +  0.01 x_{31} & +  0.03 x_{17} & +  0.03 x_{14} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.01 x_{29} & +  0.04 x_{21} & +  0.21 x_{11} & -0.13 x_{5} & +  0.04 x_{13} & -0.01 x_{20} & -0.36 x_{15}\\
 x_{19}   &  61.8304465104 & +  0.74 x_{30} & -38.22 x_{1} & +  0.38 x_{32} & +  0.07 x_{31} & -1.23 x_{17} & +  8.36 x_{14} & +  0.28 x_{24} & -1.85 x_{18} & +  0.21 x_{29} & -0.61 x_{21} & +  1.60 x_{11} & + 29.88 x_{5} & +  1.46 x_{13} & -0.80 x_{20} & -26.09 x_{15}\\
 x_{10}   &  0.56891458934 & -0.02 x_{30} & -0.44 x_{1} & +  0.05 x_{32} & +  0.00 x_{31} & +  0.01 x_{17} & -0.19 x_{14} & +  0.05 x_{24} & -0.03 x_{18} & -0.03 x_{29} & +  0.04 x_{21} & +  0.08 x_{11} & +  0.03 x_{5} & +  0.97 x_{13} & -0.00 x_{20} & -0.37 x_{15}\\
 x_{28}   &  10.7844658038 & +  0.13 x_{30} & +  7.27 x_{1} & +  0.11 x_{32} & -0.03 x_{31} & +  0.51 x_{17} & +  6.73 x_{14} & -0.20 x_{24} & +  0.01 x_{18} & -0.51 x_{29} & +  0.40 x_{21} & +  4.13 x_{11} & -11.94 x_{5} & -2.07 x_{13} & +  0.11 x_{20} & +  0.39 x_{15}\\
 x_{4}   &  2.98505745441 & -0.03 x_{30} & +  2.36 x_{1} & -0.01 x_{32} & -0.06 x_{31} & +  0.09 x_{17} & -0.35 x_{14} & -0.04 x_{24} & +  0.10 x_{18} & -0.03 x_{29} & +  0.05 x_{21} & +  0.38 x_{11} & -1.79 x_{5} & -0.35 x_{13} & -0.00 x_{20} & +  0.71 x_{15}\\
 x_{23}   &  19.3271089461 & -0.01 x_{30} & -17.96 x_{1} & +  0.79 x_{32} & -0.19 x_{31} & +  0.33 x_{17} & -12.09 x_{14} & +  0.84 x_{24} & -0.32 x_{18} & -0.13 x_{29} & -0.08 x_{21} & -8.01 x_{11} & +  5.25 x_{5} & +  3.23 x_{13} & +  0.15 x_{20} & -2.74 x_{15}\\
 x_{3}   &  2.72342297713 & +  0.07 x_{30} & -1.37 x_{1} & +  0.08 x_{32} & -0.04 x_{31} & +  0.01 x_{17} & -0.47 x_{14} & +  0.08 x_{24} & -0.05 x_{18} & +  0.02 x_{29} & +  0.00 x_{21} & -0.68 x_{11} & +  0.14 x_{5} & +  1.64 x_{13} & -0.05 x_{20} & -0.75 x_{15}\\
 x_{25}   &  27.2663951062 & -0.14 x_{30} & +  3.92 x_{1} & -0.52 x_{32} & +  0.58 x_{31} & -1.08 x_{17} & + 12.22 x_{14} & -0.09 x_{24} & -0.58 x_{18} & -0.83 x_{29} & -0.27 x_{21} & -2.60 x_{11} & -2.01 x_{5} & -4.69 x_{13} & +  0.35 x_{20} & +  6.76 x_{15}\\
 x_{26}   &  35.29190564 & -0.25 x_{30} & + 35.20 x_{1} & -1.15 x_{32} & -0.57 x_{31} & +  1.03 x_{17} & + 12.00 x_{14} & -0.55 x_{24} & +  1.11 x_{18} & -0.44 x_{29} & +  0.54 x_{21} & +  9.43 x_{11} & -24.60 x_{5} & -26.00 x_{13} & +  0.53 x_{20} & +  9.16 x_{15}\\
 x_{27}   &  64.925657777 & +  0.57 x_{30} & -8.97 x_{1} & +  0.63 x_{32} & -0.26 x_{31} & -0.58 x_{17} & -9.15 x_{14} & -0.03 x_{24} & -0.52 x_{18} & +  0.47 x_{29} & -0.30 x_{21} & -4.36 x_{11} & +  5.54 x_{5} & +  6.39 x_{13} & +  0.10 x_{20} & -11.26 x_{15}\\
 x_{2}   &  0.902988809835 & -0.01 x_{30} & -0.81 x_{1} & +  0.00 x_{32} & -0.02 x_{31} & -0.01 x_{17} & +  0.16 x_{14} & +  0.04 x_{24} & -0.03 x_{18} & -0.00 x_{29} & -0.01 x_{21} & +  0.01 x_{11} & +  0.08 x_{5} & +  0.41 x_{13} & -0.03 x_{20} & -0.27 x_{15}\\
 x_{9}   &  3.60168098011 & -0.03 x_{30} & +  1.19 x_{1} & +  0.00 x_{32} & -0.06 x_{31} & +  0.07 x_{17} & +  0.08 x_{14} & -0.04 x_{24} & +  0.03 x_{18} & +  0.02 x_{29} & +  0.01 x_{21} & +  0.33 x_{11} & -1.10 x_{5} & -0.46 x_{13} & +  0.02 x_{20} & +  0.35 x_{15}\\
 x_{8}   &  0.214089054315 & -0.02 x_{30} & -1.10 x_{1} & -0.02 x_{32} & +  0.08 x_{31} & -0.03 x_{17} & -0.28 x_{14} & -0.02 x_{24} & -0.01 x_{18} & +  0.03 x_{29} & -0.06 x_{21} & -0.54 x_{11} & +  1.19 x_{5} & -0.84 x_{13} & +  0.00 x_{20} & +  0.09 x_{15}\\
 x_{6}   &  0.614235133665 & -0.03 x_{30} & -0.66 x_{1} & +  0.05 x_{32} & -0.01 x_{31} & +  0.02 x_{17} & -0.82 x_{14} & +  0.06 x_{24} & +  0.03 x_{18} & +  0.02 x_{29} & +  0.03 x_{21} & -0.61 x_{11} & +  0.14 x_{5} & +  0.90 x_{13} & -0.01 x_{20} & +  0.19 x_{15}\\
 x_{22}   &  52.5960225318 & +  0.35 x_{30} & +  3.99 x_{1} & +  0.24 x_{32} & -0.79 x_{31} & +  0.76 x_{17} & -2.46 x_{14} & +  0.26 x_{24} & -0.28 x_{18} & -0.44 x_{29} & +  0.03 x_{21} & +  6.39 x_{11} & -27.29 x_{5} & +  0.25 x_{13} & +  0.19 x_{20} & +  9.82 x_{15}\\
\hline
z    &  21.5466239939 & +  0.37 x_{30} & -7.70 x_{1} & +  0.90 x_{32} & -0.54 x_{31} & +  0.13 x_{17} & -2.11 x_{14} & +  0.41 x_{24} & -0.16 x_{18} & -0.02 x_{29} & +  0.33 x_{21} & -8.87 x_{11} & -2.35 x_{5} & + 18.98 x_{13} & -0.31 x_{20} & -7.17 x_{15}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  60.0544984721 & -0.06 x_{30} & + 61.78 x_{1} & -0.32 x_{32} & -3.20 x_{31} & +  1.95 x_{17} & +  5.99 x_{14} & -1.20 x_{24} & +  1.65 x_{18} & -0.22 x_{29} & +  1.89 x_{21} & + 21.94 x_{11} & -49.22 x_{5} & + 39.75 x_{8} & -0.14 x_{20} & -4.94 x_{15}\\
 x_{12}   &  1.5609886617 & +  0.00 x_{30} & -1.30 x_{1} & +  0.02 x_{32} & +  0.03 x_{31} & -0.04 x_{17} & -0.17 x_{14} & -0.02 x_{24} & -0.01 x_{18} & +  0.05 x_{29} & -0.03 x_{21} & -0.44 x_{11} & +  1.31 x_{5} & -0.77 x_{8} & -0.06 x_{20} & -0.79 x_{15}\\
 x_{7}   &  0.0384011145212 & -0.01 x_{30} & +  0.13 x_{1} & -0.01 x_{32} & +  0.02 x_{31} & +  0.03 x_{17} & +  0.02 x_{14} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.01 x_{29} & +  0.04 x_{21} & +  0.18 x_{11} & -0.06 x_{5} & -0.05 x_{8} & -0.01 x_{20} & -0.36 x_{15}\\
 x_{19}   &  62.2007913937 & +  0.70 x_{30} & -40.13 x_{1} & +  0.35 x_{32} & +  0.21 x_{31} & -1.29 x_{17} & +  7.87 x_{14} & +  0.25 x_{24} & -1.86 x_{18} & +  0.25 x_{29} & -0.71 x_{21} & +  0.67 x_{11} & + 31.94 x_{5} & -1.73 x_{8} & -0.79 x_{20} & -25.94 x_{15}\\
 x_{10}   &  0.81494561568 & -0.04 x_{30} & -1.70 x_{1} & +  0.02 x_{32} & +  0.10 x_{31} & -0.03 x_{17} & -0.52 x_{14} & +  0.03 x_{24} & -0.04 x_{18} & -0.00 x_{29} & -0.02 x_{21} & -0.54 x_{11} & +  1.40 x_{5} & -1.15 x_{8} & +  0.00 x_{20} & -0.26 x_{15}\\
 x_{28}   &  10.2580514625 & +  0.18 x_{30} & +  9.98 x_{1} & +  0.16 x_{32} & -0.23 x_{31} & +  0.59 x_{17} & +  7.43 x_{14} & -0.16 x_{24} & +  0.02 x_{18} & -0.57 x_{29} & +  0.54 x_{21} & +  5.45 x_{11} & -14.88 x_{5} & +  2.46 x_{8} & +  0.11 x_{20} & +  0.17 x_{15}\\
 x_{4}   &  2.8965091587 & -0.02 x_{30} & +  2.82 x_{1} & +  0.00 x_{32} & -0.09 x_{31} & +  0.10 x_{17} & -0.23 x_{14} & -0.03 x_{24} & +  0.10 x_{18} & -0.04 x_{29} & +  0.07 x_{21} & +  0.61 x_{11} & -2.28 x_{5} & +  0.41 x_{8} & -0.00 x_{20} & +  0.67 x_{15}\\
 x_{23}   &  20.1468770658 & -0.10 x_{30} & -22.17 x_{1} & +  0.71 x_{32} & +  0.12 x_{31} & +  0.20 x_{17} & -13.18 x_{14} & +  0.78 x_{24} & -0.34 x_{18} & -0.03 x_{29} & -0.29 x_{21} & -10.07 x_{11} & +  9.81 x_{5} & -3.83 x_{8} & +  0.16 x_{20} & -2.40 x_{15}\\
 x_{3}   &  3.13944960098 & +  0.03 x_{30} & -3.51 x_{1} & +  0.04 x_{32} & +  0.11 x_{31} & -0.06 x_{17} & -1.02 x_{14} & +  0.05 x_{24} & -0.06 x_{18} & +  0.06 x_{29} & -0.10 x_{21} & -1.73 x_{11} & +  2.46 x_{5} & -1.94 x_{8} & -0.04 x_{20} & -0.57 x_{15}\\
 x_{25}   &  26.0749204096 & -0.01 x_{30} & + 10.05 x_{1} & -0.40 x_{32} & +  0.12 x_{31} & -0.89 x_{17} & + 13.80 x_{14} & -0.01 x_{24} & -0.55 x_{18} & -0.97 x_{29} & +  0.03 x_{21} & +  0.39 x_{11} & -8.65 x_{5} & +  5.57 x_{8} & +  0.34 x_{20} & +  6.27 x_{15}\\
 x_{26}   &  28.6930533829 & +  0.45 x_{30} & + 69.15 x_{1} & -0.49 x_{32} & -3.08 x_{31} & +  2.08 x_{17} & + 20.74 x_{14} & -0.07 x_{24} & +  1.28 x_{18} & -1.22 x_{29} & +  2.24 x_{21} & + 26.00 x_{11} & -61.38 x_{5} & + 30.82 x_{8} & +  0.47 x_{20} & +  6.42 x_{15}\\
 x_{27}   &  66.5469476295 & +  0.39 x_{30} & -17.31 x_{1} & +  0.47 x_{32} & +  0.36 x_{31} & -0.84 x_{17} & -11.30 x_{14} & -0.15 x_{24} & -0.56 x_{18} & +  0.66 x_{29} & -0.72 x_{21} & -8.43 x_{11} & + 14.58 x_{5} & -7.57 x_{8} & +  0.11 x_{20} & -10.59 x_{15}\\
 x_{2}   &  1.00618787124 & -0.02 x_{30} & -1.34 x_{1} & -0.01 x_{32} & +  0.02 x_{31} & -0.02 x_{17} & +  0.02 x_{14} & +  0.04 x_{24} & -0.04 x_{18} & +  0.01 x_{29} & -0.03 x_{21} & -0.25 x_{11} & +  0.66 x_{5} & -0.48 x_{8} & -0.03 x_{20} & -0.23 x_{15}\\
 x_{9}   &  3.48457453208 & -0.02 x_{30} & +  1.79 x_{1} & +  0.01 x_{32} & -0.10 x_{31} & +  0.09 x_{17} & +  0.23 x_{14} & -0.03 x_{24} & +  0.03 x_{18} & +  0.01 x_{29} & +  0.04 x_{21} & +  0.62 x_{11} & -1.75 x_{5} & +  0.55 x_{8} & +  0.02 x_{20} & +  0.30 x_{15}\\
 x_{13}   &  0.253846744853 & -0.03 x_{30} & -1.31 x_{1} & -0.03 x_{32} & +  0.10 x_{31} & -0.04 x_{17} & -0.34 x_{14} & -0.02 x_{24} & -0.01 x_{18} & +  0.03 x_{29} & -0.07 x_{21} & -0.64 x_{11} & +  1.41 x_{5} & -1.19 x_{8} & +  0.00 x_{20} & +  0.11 x_{15}\\
 x_{6}   &  0.841645890351 & -0.05 x_{30} & -1.83 x_{1} & +  0.02 x_{32} & +  0.08 x_{31} & -0.02 x_{17} & -1.12 x_{14} & +  0.04 x_{24} & +  0.02 x_{18} & +  0.05 x_{29} & -0.03 x_{21} & -1.19 x_{11} & +  1.41 x_{5} & -1.06 x_{8} & -0.00 x_{20} & +  0.28 x_{15}\\
 x_{22}   &  52.6587890089 & +  0.35 x_{30} & +  3.66 x_{1} & +  0.24 x_{32} & -0.77 x_{31} & +  0.75 x_{17} & -2.54 x_{14} & +  0.26 x_{24} & -0.29 x_{18} & -0.44 x_{29} & +  0.02 x_{21} & +  6.23 x_{11} & -26.94 x_{5} & -0.29 x_{8} & +  0.19 x_{20} & +  9.85 x_{15}\\
\hline
z    &  26.3639703453 & -0.14 x_{30} & -32.48 x_{1} & +  0.42 x_{32} & +  1.29 x_{31} & -0.63 x_{17} & -8.49 x_{14} & +  0.06 x_{24} & -0.28 x_{18} & +  0.54 x_{29} & -0.91 x_{21} & -20.96 x_{11} & + 24.50 x_{5} & -22.50 x_{8} & -0.26 x_{20} & -5.17 x_{15}\\
\end{array}\]


 $ x_{5} $ enters and $ x_{26} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  37.0436512846 & -0.42 x_{30} & +  6.33 x_{1} & +  0.08 x_{32} & -0.73 x_{31} & +  0.29 x_{17} & -10.65 x_{14} & -1.14 x_{24} & +  0.63 x_{18} & +  0.76 x_{29} & +  0.09 x_{21} & +  1.09 x_{11} & +  0.80 x_{26} & + 15.03 x_{8} & -0.51 x_{20} & -10.09 x_{15}\\
 x_{12}   &  2.17313870734 & +  0.01 x_{30} & +  0.18 x_{1} & +  0.01 x_{32} & -0.03 x_{31} & +  0.00 x_{17} & +  0.28 x_{14} & -0.02 x_{24} & +  0.02 x_{18} & +  0.02 x_{29} & +  0.02 x_{21} & +  0.11 x_{11} & -0.02 x_{26} & -0.11 x_{8} & -0.05 x_{20} & -0.65 x_{15}\\
 x_{7}   &  0.00876044105115 & -0.01 x_{30} & +  0.06 x_{1} & -0.01 x_{32} & +  0.02 x_{31} & +  0.03 x_{17} & -0.00 x_{14} & +  0.03 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.03 x_{21} & +  0.15 x_{11} & +  0.00 x_{26} & -0.08 x_{8} & -0.01 x_{20} & -0.37 x_{15}\\
 x_{19}   &  77.1333879109 & +  0.94 x_{30} & -4.14 x_{1} & +  0.09 x_{32} & -1.39 x_{31} & -0.21 x_{17} & + 18.67 x_{14} & +  0.21 x_{24} & -1.19 x_{18} & -0.39 x_{29} & +  0.46 x_{21} & + 14.20 x_{11} & -0.52 x_{26} & + 14.31 x_{8} & -0.55 x_{20} & -22.60 x_{15}\\
 x_{10}   &  1.46821988288 & -0.03 x_{30} & -0.13 x_{1} & +  0.01 x_{32} & +  0.03 x_{31} & +  0.02 x_{17} & -0.05 x_{14} & +  0.03 x_{24} & -0.01 x_{18} & -0.03 x_{29} & +  0.03 x_{21} & +  0.05 x_{11} & -0.02 x_{26} & -0.45 x_{8} & +  0.01 x_{20} & -0.12 x_{15}\\
 x_{28}   &  3.3027151053 & +  0.07 x_{30} & -6.78 x_{1} & +  0.28 x_{32} & +  0.52 x_{31} & +  0.09 x_{17} & +  2.40 x_{14} & -0.14 x_{24} & -0.29 x_{18} & -0.27 x_{29} & -0.01 x_{21} & -0.85 x_{11} & +  0.24 x_{26} & -5.01 x_{8} & -0.00 x_{20} & -1.38 x_{15}\\
 x_{4}   &  1.8311202264 & -0.04 x_{30} & +  0.25 x_{1} & +  0.02 x_{32} & +  0.02 x_{31} & +  0.03 x_{17} & -1.00 x_{14} & -0.03 x_{24} & +  0.06 x_{18} & +  0.01 x_{29} & -0.01 x_{21} & -0.36 x_{11} & +  0.04 x_{26} & -0.73 x_{8} & -0.02 x_{20} & +  0.43 x_{15}\\
 x_{23}   &  24.7350688932 & -0.03 x_{30} & -11.12 x_{1} & +  0.63 x_{32} & -0.37 x_{31} & +  0.53 x_{17} & -9.86 x_{14} & +  0.77 x_{24} & -0.14 x_{18} & -0.23 x_{29} & +  0.07 x_{21} & -5.91 x_{11} & -0.16 x_{26} & +  1.10 x_{8} & +  0.24 x_{20} & -1.37 x_{15}\\
 x_{3}   &  4.28729355656 & +  0.05 x_{30} & -0.74 x_{1} & +  0.02 x_{32} & -0.01 x_{31} & +  0.03 x_{17} & -0.19 x_{14} & +  0.05 x_{24} & -0.01 x_{18} & +  0.02 x_{29} & -0.01 x_{21} & -0.69 x_{11} & -0.04 x_{26} & -0.71 x_{8} & -0.03 x_{20} & -0.32 x_{15}\\
 x_{25}   &  22.0312693702 & -0.08 x_{30} & +  0.31 x_{1} & -0.33 x_{32} & +  0.56 x_{31} & -1.19 x_{17} & + 10.87 x_{14} & +  0.00 x_{24} & -0.73 x_{18} & -0.80 x_{29} & -0.28 x_{21} & -3.27 x_{11} & +  0.14 x_{26} & +  1.22 x_{8} & +  0.27 x_{20} & +  5.36 x_{15}\\
 x_{5}   &  0.467482578099 & +  0.01 x_{30} & +  1.13 x_{1} & -0.01 x_{32} & -0.05 x_{31} & +  0.03 x_{17} & +  0.34 x_{14} & -0.00 x_{24} & +  0.02 x_{18} & -0.02 x_{29} & +  0.04 x_{21} & +  0.42 x_{11} & -0.02 x_{26} & +  0.50 x_{8} & +  0.01 x_{20} & +  0.10 x_{15}\\
 x_{27}   &  73.3629539302 & +  0.50 x_{30} & -0.88 x_{1} & +  0.35 x_{32} & -0.37 x_{31} & -0.35 x_{17} & -6.37 x_{14} & -0.17 x_{24} & -0.26 x_{18} & +  0.37 x_{29} & -0.19 x_{21} & -2.25 x_{11} & -0.24 x_{26} & -0.25 x_{8} & +  0.22 x_{20} & -9.06 x_{15}\\
 x_{2}   &  1.31459473838 & -0.01 x_{30} & -0.59 x_{1} & -0.01 x_{32} & -0.01 x_{31} & -0.00 x_{17} & +  0.24 x_{14} & +  0.03 x_{24} & -0.02 x_{18} & -0.00 x_{29} & -0.01 x_{21} & +  0.03 x_{11} & -0.01 x_{26} & -0.15 x_{8} & -0.03 x_{20} & -0.16 x_{15}\\
 x_{9}   &  2.66642368813 & -0.03 x_{30} & -0.18 x_{1} & +  0.03 x_{32} & -0.01 x_{31} & +  0.03 x_{17} & -0.36 x_{14} & -0.02 x_{24} & -0.01 x_{18} & +  0.05 x_{29} & -0.03 x_{21} & -0.12 x_{11} & +  0.03 x_{26} & -0.33 x_{8} & +  0.01 x_{20} & +  0.12 x_{15}\\
 x_{13}   &  0.915190159833 & -0.02 x_{30} & +  0.29 x_{1} & -0.04 x_{32} & +  0.03 x_{31} & +  0.01 x_{17} & +  0.14 x_{14} & -0.02 x_{24} & +  0.02 x_{18} & +  0.00 x_{29} & -0.01 x_{21} & -0.04 x_{11} & -0.02 x_{26} & -0.48 x_{8} & +  0.01 x_{20} & +  0.25 x_{15}\\
 x_{6}   &  1.49964391507 & -0.04 x_{30} & -0.24 x_{1} & +  0.01 x_{32} & +  0.01 x_{31} & +  0.03 x_{17} & -0.65 x_{14} & +  0.04 x_{24} & +  0.05 x_{18} & +  0.02 x_{29} & +  0.02 x_{21} & -0.59 x_{11} & -0.02 x_{26} & -0.36 x_{8} & +  0.01 x_{20} & +  0.43 x_{15}\\
 x_{22}   &  40.0634083622 & +  0.15 x_{30} & -26.69 x_{1} & +  0.45 x_{32} & +  0.58 x_{31} & -0.17 x_{17} & -11.64 x_{14} & +  0.29 x_{24} & -0.85 x_{18} & +  0.10 x_{29} & -0.97 x_{21} & -5.18 x_{11} & +  0.44 x_{26} & -13.82 x_{8} & -0.02 x_{20} & +  7.03 x_{15}\\
\hline
z    &  37.8169773839 & +  0.04 x_{30} & -4.88 x_{1} & +  0.22 x_{32} & +  0.06 x_{31} & +  0.19 x_{17} & -0.22 x_{14} & +  0.04 x_{24} & +  0.23 x_{18} & +  0.06 x_{29} & -0.02 x_{21} & -10.58 x_{11} & -0.40 x_{26} & -10.20 x_{8} & -0.08 x_{20} & -2.61 x_{15}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  42.3558775059 & -0.44 x_{30} & +  6.40 x_{1} & +  0.00 x_{32} & -0.60 x_{31} & -0.24 x_{25} & -8.03 x_{14} & -1.14 x_{24} & +  0.45 x_{18} & +  0.57 x_{29} & +  0.03 x_{21} & +  0.31 x_{11} & +  0.84 x_{26} & + 15.33 x_{8} & -0.45 x_{20} & -8.79 x_{15}\\
 x_{12}   &  2.21302860082 & +  0.01 x_{30} & +  0.18 x_{1} & +  0.01 x_{32} & -0.03 x_{31} & -0.00 x_{25} & +  0.30 x_{14} & -0.02 x_{24} & +  0.01 x_{18} & +  0.02 x_{29} & +  0.02 x_{21} & +  0.11 x_{11} & -0.02 x_{26} & -0.11 x_{8} & -0.05 x_{20} & -0.64 x_{15}\\
 x_{7}   &  0.524665627578 & -0.01 x_{30} & +  0.07 x_{1} & -0.02 x_{32} & +  0.03 x_{31} & -0.02 x_{25} & +  0.25 x_{14} & +  0.03 x_{24} & -0.01 x_{18} & -0.00 x_{29} & +  0.03 x_{21} & +  0.08 x_{11} & +  0.00 x_{26} & -0.06 x_{8} & -0.01 x_{20} & -0.24 x_{15}\\
 x_{19}   &  73.2880276858 & +  0.95 x_{30} & -4.19 x_{1} & +  0.15 x_{32} & -1.49 x_{31} & +  0.17 x_{25} & + 16.77 x_{14} & +  0.21 x_{24} & -1.07 x_{18} & -0.25 x_{29} & +  0.51 x_{21} & + 14.77 x_{11} & -0.55 x_{26} & + 14.10 x_{8} & -0.60 x_{20} & -23.53 x_{15}\\
 x_{10}   &  1.83221302294 & -0.03 x_{30} & -0.12 x_{1} & +  0.00 x_{32} & +  0.04 x_{31} & -0.02 x_{25} & +  0.13 x_{14} & +  0.03 x_{24} & -0.02 x_{18} & -0.04 x_{29} & +  0.02 x_{21} & +  0.00 x_{11} & -0.02 x_{26} & -0.43 x_{8} & +  0.02 x_{20} & -0.03 x_{15}\\
 x_{28}   &  4.91991191941 & +  0.07 x_{30} & -6.76 x_{1} & +  0.25 x_{32} & +  0.56 x_{31} & -0.07 x_{25} & +  3.20 x_{14} & -0.14 x_{24} & -0.34 x_{18} & -0.33 x_{29} & -0.03 x_{21} & -1.09 x_{11} & +  0.25 x_{26} & -4.92 x_{8} & +  0.02 x_{20} & -0.99 x_{15}\\
 x_{4}   &  2.32123594807 & -0.04 x_{30} & +  0.25 x_{1} & +  0.01 x_{32} & +  0.03 x_{31} & -0.02 x_{25} & -0.76 x_{14} & -0.03 x_{24} & +  0.04 x_{18} & -0.01 x_{29} & -0.02 x_{21} & -0.43 x_{11} & +  0.04 x_{26} & -0.70 x_{8} & -0.01 x_{20} & +  0.55 x_{15}\\
 x_{23}   &  34.613383863 & -0.06 x_{30} & -10.98 x_{1} & +  0.49 x_{32} & -0.12 x_{31} & -0.45 x_{25} & -4.99 x_{14} & +  0.77 x_{24} & -0.47 x_{18} & -0.59 x_{29} & -0.06 x_{21} & -7.38 x_{11} & -0.10 x_{26} & +  1.65 x_{8} & +  0.36 x_{20} & +  1.03 x_{15}\\
 x_{3}   &  4.77893790073 & +  0.04 x_{30} & -0.74 x_{1} & +  0.01 x_{32} & +  0.00 x_{31} & -0.02 x_{25} & +  0.05 x_{14} & +  0.05 x_{24} & -0.03 x_{18} & -0.00 x_{29} & -0.02 x_{21} & -0.76 x_{11} & -0.04 x_{26} & -0.68 x_{8} & -0.02 x_{20} & -0.20 x_{15}\\
 x_{17}   &  18.5579762388 & -0.06 x_{30} & +  0.26 x_{1} & -0.28 x_{32} & +  0.47 x_{31} & -0.84 x_{25} & +  9.16 x_{14} & +  0.00 x_{24} & -0.62 x_{18} & -0.68 x_{29} & -0.24 x_{21} & -2.76 x_{11} & +  0.12 x_{26} & +  1.03 x_{8} & +  0.23 x_{20} & +  4.52 x_{15}\\
 x_{5}   &  1.0956634139 & +  0.01 x_{30} & +  1.14 x_{1} & -0.02 x_{32} & -0.03 x_{31} & -0.03 x_{25} & +  0.65 x_{14} & -0.00 x_{24} & -0.00 x_{18} & -0.04 x_{29} & +  0.03 x_{21} & +  0.33 x_{11} & -0.01 x_{26} & +  0.54 x_{8} & +  0.02 x_{20} & +  0.26 x_{15}\\
 x_{27}   &  66.9111906551 & +  0.52 x_{30} & -0.97 x_{1} & +  0.44 x_{32} & -0.53 x_{31} & +  0.29 x_{25} & -9.56 x_{14} & -0.17 x_{24} & -0.05 x_{18} & +  0.60 x_{29} & -0.11 x_{21} & -1.29 x_{11} & -0.28 x_{26} & -0.61 x_{8} & +  0.15 x_{20} & -10.63 x_{15}\\
 x_{2}   &  1.27569555666 & -0.01 x_{30} & -0.59 x_{1} & -0.01 x_{32} & -0.01 x_{31} & +  0.00 x_{25} & +  0.23 x_{14} & +  0.03 x_{24} & -0.02 x_{18} & -0.00 x_{29} & -0.01 x_{21} & +  0.04 x_{11} & -0.01 x_{26} & -0.15 x_{8} & -0.03 x_{20} & -0.17 x_{15}\\
 x_{9}   &  3.23492246118 & -0.03 x_{30} & -0.17 x_{1} & +  0.02 x_{32} & +  0.00 x_{31} & -0.03 x_{25} & -0.08 x_{14} & -0.02 x_{24} & -0.03 x_{18} & +  0.03 x_{29} & -0.03 x_{21} & -0.20 x_{11} & +  0.03 x_{26} & -0.30 x_{8} & +  0.01 x_{20} & +  0.26 x_{15}\\
 x_{13}   &  1.05469028448 & -0.02 x_{30} & +  0.29 x_{1} & -0.04 x_{32} & +  0.03 x_{31} & -0.01 x_{25} & +  0.21 x_{14} & -0.02 x_{24} & +  0.02 x_{18} & -0.00 x_{29} & -0.02 x_{21} & -0.06 x_{11} & -0.02 x_{26} & -0.47 x_{8} & +  0.02 x_{20} & +  0.29 x_{15}\\
 x_{6}   &  2.08190104156 & -0.04 x_{30} & -0.23 x_{1} & +  0.00 x_{32} & +  0.02 x_{31} & -0.03 x_{25} & -0.36 x_{14} & +  0.04 x_{24} & +  0.03 x_{18} & +  0.00 x_{29} & +  0.01 x_{21} & -0.68 x_{11} & -0.02 x_{26} & -0.32 x_{8} & +  0.02 x_{20} & +  0.57 x_{15}\\
 x_{22}   &  36.9782578644 & +  0.16 x_{30} & -26.74 x_{1} & +  0.50 x_{32} & +  0.51 x_{31} & +  0.14 x_{25} & -13.17 x_{14} & +  0.29 x_{24} & -0.74 x_{18} & +  0.21 x_{29} & -0.93 x_{21} & -4.72 x_{11} & +  0.42 x_{26} & -13.99 x_{8} & -0.06 x_{20} & +  6.28 x_{15}\\
\hline
z    &  41.4276567325 & +  0.02 x_{30} & -4.83 x_{1} & +  0.17 x_{32} & +  0.15 x_{31} & -0.16 x_{25} & +  1.57 x_{14} & +  0.04 x_{24} & +  0.11 x_{18} & -0.08 x_{29} & -0.06 x_{21} & -11.12 x_{11} & -0.38 x_{26} & -10.00 x_{8} & -0.03 x_{20} & -1.73 x_{15}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  19.8161974093 & -0.54 x_{30} & + 22.70 x_{1} & -0.30 x_{32} & -0.91 x_{31} & -0.33 x_{25} & +  0.61 x_{22} & -1.32 x_{24} & +  0.90 x_{18} & +  0.44 x_{29} & +  0.59 x_{21} & +  3.18 x_{11} & +  0.58 x_{26} & + 23.86 x_{8} & -0.41 x_{20} & -12.62 x_{15}\\
 x_{12}   &  3.04338145614 & +  0.02 x_{30} & -0.42 x_{1} & +  0.02 x_{32} & -0.02 x_{31} & +  0.00 x_{25} & -0.02 x_{22} & -0.01 x_{24} & -0.00 x_{18} & +  0.02 x_{29} & +  0.00 x_{21} & -0.00 x_{11} & -0.01 x_{26} & -0.42 x_{8} & -0.05 x_{20} & -0.50 x_{15}\\
 x_{7}   &  1.23526776572 & -0.01 x_{30} & -0.45 x_{1} & -0.01 x_{32} & +  0.04 x_{31} & -0.02 x_{25} & -0.02 x_{22} & +  0.03 x_{24} & -0.02 x_{18} & +  0.00 x_{29} & +  0.01 x_{21} & -0.01 x_{11} & +  0.01 x_{26} & -0.33 x_{8} & -0.01 x_{20} & -0.12 x_{15}\\
 x_{19}   &  120.382447579 & +  1.15 x_{30} & -38.24 x_{1} & +  0.78 x_{32} & -0.85 x_{31} & +  0.35 x_{25} & -1.27 x_{22} & +  0.58 x_{24} & -2.01 x_{18} & +  0.02 x_{29} & -0.67 x_{21} & +  8.76 x_{11} & -0.01 x_{26} & -3.73 x_{8} & -0.67 x_{20} & -15.53 x_{15}\\
 x_{10}   &  2.20851239076 & -0.03 x_{30} & -0.39 x_{1} & +  0.01 x_{32} & +  0.04 x_{31} & -0.02 x_{25} & -0.01 x_{22} & +  0.04 x_{24} & -0.03 x_{18} & -0.04 x_{29} & +  0.01 x_{21} & -0.05 x_{11} & -0.02 x_{26} & -0.57 x_{8} & +  0.02 x_{20} & +  0.03 x_{15}\\
 x_{28}   &  13.9119923386 & +  0.10 x_{30} & -13.26 x_{1} & +  0.38 x_{32} & +  0.68 x_{31} & -0.04 x_{25} & -0.24 x_{22} & -0.07 x_{24} & -0.52 x_{18} & -0.28 x_{29} & -0.25 x_{21} & -2.24 x_{11} & +  0.35 x_{26} & -8.33 x_{8} & +  0.00 x_{20} & +  0.54 x_{15}\\
 x_{4}   &  0.17898934917 & -0.05 x_{30} & +  1.80 x_{1} & -0.01 x_{32} & +  0.01 x_{31} & -0.03 x_{25} & +  0.06 x_{22} & -0.04 x_{24} & +  0.08 x_{18} & -0.02 x_{29} & +  0.04 x_{21} & -0.16 x_{11} & +  0.02 x_{26} & +  0.11 x_{8} & -0.01 x_{20} & +  0.19 x_{15}\\
 x_{23}   &  20.6050063524 & -0.12 x_{30} & -0.85 x_{1} & +  0.30 x_{32} & -0.31 x_{31} & -0.50 x_{25} & +  0.38 x_{22} & +  0.66 x_{24} & -0.18 x_{18} & -0.67 x_{29} & +  0.29 x_{21} & -5.59 x_{11} & -0.26 x_{26} & +  6.95 x_{8} & +  0.38 x_{20} & -1.35 x_{15}\\
 x_{3}   &  4.92410490338 & +  0.04 x_{30} & -0.84 x_{1} & +  0.02 x_{32} & +  0.01 x_{31} & -0.02 x_{25} & -0.00 x_{22} & +  0.05 x_{24} & -0.03 x_{18} & -0.00 x_{29} & -0.02 x_{21} & -0.78 x_{11} & -0.04 x_{26} & -0.74 x_{8} & -0.02 x_{20} & -0.17 x_{15}\\
 x_{17}   &  44.2811585883 & +  0.05 x_{30} & -18.34 x_{1} & +  0.07 x_{32} & +  0.82 x_{31} & -0.74 x_{25} & -0.70 x_{22} & +  0.20 x_{24} & -1.13 x_{18} & -0.53 x_{29} & -0.88 x_{21} & -6.04 x_{11} & +  0.41 x_{26} & -8.71 x_{8} & +  0.19 x_{20} & +  8.89 x_{15}\\
 x_{5}   &  2.91540693472 & +  0.01 x_{30} & -0.18 x_{1} & +  0.01 x_{32} & -0.01 x_{31} & -0.02 x_{25} & -0.05 x_{22} & +  0.01 x_{24} & -0.04 x_{18} & -0.03 x_{29} & -0.02 x_{21} & +  0.10 x_{11} & +  0.01 x_{26} & -0.15 x_{8} & +  0.01 x_{20} & +  0.57 x_{15}\\
 x_{27}   &  40.0668836392 & +  0.41 x_{30} & + 18.43 x_{1} & +  0.08 x_{32} & -0.90 x_{31} & +  0.19 x_{25} & +  0.73 x_{22} & -0.38 x_{24} & +  0.49 x_{18} & +  0.45 x_{29} & +  0.57 x_{21} & +  2.13 x_{11} & -0.58 x_{26} & +  9.55 x_{8} & +  0.19 x_{20} & -15.19 x_{15}\\
 x_{2}   &  1.90977985847 & -0.01 x_{30} & -1.05 x_{1} & -0.00 x_{32} & -0.01 x_{31} & +  0.00 x_{25} & -0.02 x_{22} & +  0.04 x_{24} & -0.03 x_{18} & +  0.00 x_{29} & -0.02 x_{21} & -0.04 x_{11} & -0.00 x_{26} & -0.39 x_{8} & -0.03 x_{20} & -0.06 x_{15}\\
 x_{9}   &  3.0151959115 & -0.03 x_{30} & -0.01 x_{1} & +  0.02 x_{32} & -0.00 x_{31} & -0.03 x_{25} & +  0.01 x_{22} & -0.03 x_{24} & -0.02 x_{18} & +  0.02 x_{29} & -0.03 x_{21} & -0.18 x_{11} & +  0.03 x_{26} & -0.22 x_{8} & +  0.01 x_{20} & +  0.22 x_{15}\\
 x_{13}   &  1.6462643195 & -0.01 x_{30} & -0.14 x_{1} & -0.03 x_{32} & +  0.04 x_{31} & -0.00 x_{25} & -0.02 x_{22} & -0.02 x_{24} & +  0.01 x_{18} & +  0.00 x_{29} & -0.03 x_{21} & -0.13 x_{11} & -0.02 x_{26} & -0.69 x_{8} & +  0.01 x_{20} & +  0.39 x_{15}\\
 x_{6}   &  1.07514314597 & -0.05 x_{30} & +  0.49 x_{1} & -0.01 x_{32} & +  0.01 x_{31} & -0.03 x_{25} & +  0.03 x_{22} & +  0.03 x_{24} & +  0.05 x_{18} & -0.00 x_{29} & +  0.04 x_{21} & -0.55 x_{11} & -0.03 x_{26} & +  0.06 x_{8} & +  0.02 x_{20} & +  0.40 x_{15}\\
 x_{14}   &  2.80864157402 & +  0.01 x_{30} & -2.03 x_{1} & +  0.04 x_{32} & +  0.04 x_{31} & +  0.01 x_{25} & -0.08 x_{22} & +  0.02 x_{24} & -0.06 x_{18} & +  0.02 x_{29} & -0.07 x_{21} & -0.36 x_{11} & +  0.03 x_{26} & -1.06 x_{8} & -0.00 x_{20} & +  0.48 x_{15}\\
\hline
z    &  45.8264957947 & +  0.04 x_{30} & -8.01 x_{1} & +  0.23 x_{32} & +  0.21 x_{31} & -0.15 x_{25} & -0.12 x_{22} & +  0.07 x_{24} & +  0.02 x_{18} & -0.05 x_{29} & -0.17 x_{21} & -11.68 x_{11} & -0.33 x_{26} & -11.66 x_{8} & -0.04 x_{20} & -0.98 x_{15}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{28} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  43.8627361091 & -0.36 x_{30} & -0.22 x_{1} & +  0.35 x_{32} & +  0.27 x_{31} & -0.39 x_{25} & +  0.19 x_{22} & -1.44 x_{24} & -1.73 x_{28} & -0.05 x_{29} & +  0.16 x_{21} & -0.69 x_{11} & +  1.19 x_{26} & +  9.47 x_{8} & -0.41 x_{20} & -11.69 x_{15}\\
 x_{12}   &  2.98252890608 & +  0.01 x_{30} & -0.36 x_{1} & +  0.02 x_{32} & -0.02 x_{31} & +  0.00 x_{25} & -0.02 x_{22} & -0.01 x_{24} & +  0.00 x_{28} & +  0.02 x_{29} & +  0.00 x_{21} & +  0.01 x_{11} & -0.01 x_{26} & -0.38 x_{8} & -0.05 x_{20} & -0.50 x_{15}\\
 x_{7}   &  0.653358037641 & -0.01 x_{30} & +  0.11 x_{1} & -0.03 x_{32} & +  0.02 x_{31} & -0.02 x_{25} & -0.01 x_{22} & +  0.03 x_{24} & +  0.04 x_{28} & +  0.01 x_{29} & +  0.02 x_{21} & +  0.08 x_{11} & -0.00 x_{26} & +  0.02 x_{8} & -0.01 x_{20} & -0.14 x_{15}\\
 x_{19}   &  66.8723285703 & +  0.75 x_{30} & + 12.76 x_{1} & -0.66 x_{32} & -3.47 x_{31} & +  0.50 x_{25} & -0.34 x_{22} & +  0.85 x_{24} & +  3.85 x_{28} & +  1.10 x_{29} & +  0.30 x_{21} & + 17.38 x_{11} & -1.38 x_{26} & + 28.30 x_{8} & -0.67 x_{20} & -17.60 x_{15}\\
 x_{10}   &  1.4988019372 & -0.04 x_{30} & +  0.28 x_{1} & -0.01 x_{32} & +  0.01 x_{31} & -0.01 x_{25} & +  0.00 x_{22} & +  0.04 x_{24} & +  0.05 x_{28} & -0.03 x_{29} & +  0.03 x_{21} & +  0.07 x_{11} & -0.03 x_{26} & -0.14 x_{8} & +  0.02 x_{20} & +  0.01 x_{15}\\
 x_{18}   &  26.570781909 & +  0.20 x_{30} & -25.33 x_{1} & +  0.72 x_{32} & +  1.30 x_{31} & -0.08 x_{25} & -0.46 x_{22} & -0.14 x_{24} & -1.91 x_{28} & -0.54 x_{29} & -0.48 x_{21} & -4.28 x_{11} & +  0.68 x_{26} & -15.90 x_{8} & +  0.00 x_{20} & +  1.03 x_{15}\\
 x_{4}   &  2.39494478042 & -0.04 x_{30} & -0.31 x_{1} & +  0.05 x_{32} & +  0.11 x_{31} & -0.04 x_{25} & +  0.02 x_{22} & -0.05 x_{24} & -0.16 x_{28} & -0.07 x_{29} & -0.00 x_{21} & -0.52 x_{11} & +  0.07 x_{26} & -1.22 x_{8} & -0.01 x_{20} & +  0.27 x_{15}\\
 x_{23}   &  15.7235189568 & -0.16 x_{30} & +  3.80 x_{1} & +  0.16 x_{32} & -0.55 x_{31} & -0.49 x_{25} & +  0.46 x_{22} & +  0.69 x_{24} & +  0.35 x_{28} & -0.57 x_{29} & +  0.38 x_{21} & -4.81 x_{11} & -0.38 x_{26} & +  9.87 x_{8} & +  0.38 x_{20} & -1.53 x_{15}\\
 x_{3}   &  4.13242293201 & +  0.04 x_{30} & -0.09 x_{1} & -0.01 x_{32} & -0.03 x_{31} & -0.02 x_{25} & +  0.01 x_{22} & +  0.05 x_{24} & +  0.06 x_{28} & +  0.01 x_{29} & -0.01 x_{21} & -0.65 x_{11} & -0.06 x_{26} & -0.26 x_{8} & -0.02 x_{20} & -0.20 x_{15}\\
 x_{17}   &  14.1872764239 & -0.18 x_{30} & + 10.35 x_{1} & -0.74 x_{32} & -0.66 x_{31} & -0.66 x_{25} & -0.17 x_{22} & +  0.36 x_{24} & +  2.16 x_{28} & +  0.08 x_{29} & -0.34 x_{21} & -1.19 x_{11} & -0.36 x_{26} & +  9.30 x_{8} & +  0.19 x_{20} & +  7.72 x_{15}\\
 x_{5}   &  1.94198178382 & +  0.01 x_{30} & +  0.75 x_{1} & -0.02 x_{32} & -0.06 x_{31} & -0.02 x_{25} & -0.03 x_{22} & +  0.02 x_{24} & +  0.07 x_{28} & -0.01 x_{29} & +  0.00 x_{21} & +  0.25 x_{11} & -0.02 x_{26} & +  0.43 x_{8} & +  0.01 x_{20} & +  0.53 x_{15}\\
 x_{27}   &  53.1829879297 & +  0.51 x_{30} & +  5.93 x_{1} & +  0.44 x_{32} & -0.26 x_{31} & +  0.15 x_{25} & +  0.50 x_{22} & -0.44 x_{24} & -0.94 x_{28} & +  0.18 x_{29} & +  0.33 x_{21} & +  0.02 x_{11} & -0.25 x_{26} & +  1.70 x_{8} & +  0.19 x_{20} & -14.69 x_{15}\\
 x_{2}   &  1.03926492539 & -0.02 x_{30} & -0.22 x_{1} & -0.03 x_{32} & -0.05 x_{31} & +  0.01 x_{25} & -0.00 x_{22} & +  0.04 x_{24} & +  0.06 x_{28} & +  0.02 x_{29} & -0.01 x_{21} & +  0.10 x_{11} & -0.03 x_{26} & +  0.13 x_{8} & -0.03 x_{20} & -0.09 x_{15}\\
 x_{9}   &  2.42144115072 & -0.04 x_{30} & +  0.56 x_{1} & +  0.00 x_{32} & -0.03 x_{31} & -0.02 x_{25} & +  0.02 x_{22} & -0.02 x_{24} & +  0.04 x_{28} & +  0.04 x_{29} & -0.02 x_{21} & -0.08 x_{11} & +  0.01 x_{26} & +  0.14 x_{8} & +  0.01 x_{20} & +  0.20 x_{15}\\
 x_{13}   &  1.82337313617 & -0.01 x_{30} & -0.31 x_{1} & -0.03 x_{32} & +  0.05 x_{31} & -0.00 x_{25} & -0.02 x_{22} & -0.02 x_{24} & -0.01 x_{28} & -0.00 x_{29} & -0.03 x_{21} & -0.16 x_{11} & -0.01 x_{26} & -0.80 x_{8} & +  0.01 x_{20} & +  0.39 x_{15}\\
 x_{6}   &  2.41045168683 & -0.04 x_{30} & -0.78 x_{1} & +  0.03 x_{32} & +  0.07 x_{31} & -0.03 x_{25} & +  0.00 x_{22} & +  0.03 x_{24} & -0.10 x_{28} & -0.03 x_{29} & +  0.02 x_{21} & -0.76 x_{11} & +  0.00 x_{26} & -0.74 x_{8} & +  0.02 x_{20} & +  0.45 x_{15}\\
 x_{14}   &  1.30741892952 & +  0.00 x_{30} & -0.60 x_{1} & -0.00 x_{32} & -0.04 x_{31} & +  0.01 x_{25} & -0.05 x_{22} & +  0.03 x_{24} & +  0.11 x_{28} & +  0.05 x_{29} & -0.04 x_{21} & -0.12 x_{11} & -0.01 x_{26} & -0.16 x_{8} & -0.00 x_{20} & +  0.42 x_{15}\\
\hline
z    &  46.4831887483 & +  0.05 x_{30} & -8.64 x_{1} & +  0.25 x_{32} & +  0.24 x_{31} & -0.15 x_{25} & -0.13 x_{22} & +  0.07 x_{24} & -0.05 x_{28} & -0.06 x_{29} & -0.19 x_{21} & -11.79 x_{11} & -0.31 x_{26} & -12.06 x_{8} & -0.04 x_{20} & -0.96 x_{15}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  30.4618692672 & -0.25 x_{30} & -0.15 x_{1} & +  0.24 x_{32} & +  0.19 x_{31} & -0.27 x_{25} & +  0.13 x_{22} & -0.69 x_{16} & -1.20 x_{28} & -0.03 x_{29} & +  0.11 x_{21} & -0.48 x_{11} & +  0.83 x_{26} & +  6.58 x_{8} & -0.29 x_{20} & -8.12 x_{15}\\
 x_{12}   &  2.58376107164 & +  0.02 x_{30} & -0.36 x_{1} & +  0.01 x_{32} & -0.03 x_{31} & +  0.01 x_{25} & -0.02 x_{22} & +  0.01 x_{16} & +  0.02 x_{28} & +  0.02 x_{29} & +  0.00 x_{21} & +  0.02 x_{11} & -0.02 x_{26} & -0.47 x_{8} & -0.04 x_{20} & -0.39 x_{15}\\
 x_{7}   &  1.70931094051 & -0.02 x_{30} & +  0.10 x_{1} & -0.02 x_{32} & +  0.02 x_{31} & -0.03 x_{25} & -0.00 x_{22} & -0.02 x_{16} & +  0.00 x_{28} & +  0.01 x_{29} & +  0.02 x_{21} & +  0.06 x_{11} & +  0.03 x_{26} & +  0.25 x_{8} & -0.02 x_{20} & -0.42 x_{15}\\
 x_{19}   &  92.8778293997 & +  0.54 x_{30} & + 12.63 x_{1} & -0.46 x_{32} & -3.31 x_{31} & +  0.27 x_{25} & -0.23 x_{22} & -0.59 x_{16} & +  2.82 x_{28} & +  1.08 x_{29} & +  0.39 x_{21} & + 16.97 x_{11} & -0.67 x_{26} & + 33.91 x_{8} & -0.92 x_{20} & -24.54 x_{15}\\
 x_{10}   &  2.68730790808 & -0.05 x_{30} & +  0.28 x_{1} & -0.00 x_{32} & +  0.02 x_{31} & -0.02 x_{25} & +  0.01 x_{22} & -0.03 x_{16} & +  0.00 x_{28} & -0.03 x_{29} & +  0.03 x_{21} & +  0.05 x_{11} & -0.00 x_{26} & +  0.11 x_{8} & +  0.00 x_{20} & -0.31 x_{15}\\
 x_{18}   &  22.4427691131 & +  0.23 x_{30} & -25.31 x_{1} & +  0.68 x_{32} & +  1.28 x_{31} & -0.04 x_{25} & -0.48 x_{22} & +  0.09 x_{16} & -1.75 x_{28} & -0.53 x_{29} & -0.50 x_{21} & -4.22 x_{11} & +  0.57 x_{26} & -16.79 x_{8} & +  0.04 x_{20} & +  2.13 x_{15}\\
 x_{4}   &  0.747068830093 & -0.02 x_{30} & -0.30 x_{1} & +  0.03 x_{32} & +  0.10 x_{31} & -0.02 x_{25} & +  0.01 x_{22} & +  0.04 x_{16} & -0.09 x_{28} & -0.07 x_{29} & -0.01 x_{21} & -0.49 x_{11} & +  0.03 x_{26} & -1.57 x_{8} & +  0.01 x_{20} & +  0.71 x_{15}\\
 x_{23}   &  36.6584177866 & -0.33 x_{30} & +  3.70 x_{1} & +  0.33 x_{32} & -0.42 x_{31} & -0.68 x_{25} & +  0.55 x_{22} & -0.48 x_{16} & -0.47 x_{28} & -0.59 x_{29} & +  0.46 x_{21} & -5.14 x_{11} & +  0.19 x_{26} & + 14.39 x_{8} & +  0.18 x_{20} & -7.11 x_{15}\\
 x_{3}   &  5.6851747751 & +  0.03 x_{30} & -0.09 x_{1} & +  0.01 x_{32} & -0.02 x_{31} & -0.03 x_{25} & +  0.02 x_{22} & -0.04 x_{16} & -0.00 x_{28} & +  0.01 x_{29} & -0.00 x_{21} & -0.68 x_{11} & -0.01 x_{26} & +  0.07 x_{8} & -0.04 x_{20} & -0.62 x_{15}\\
 x_{17}   &  25.0653819524 & -0.27 x_{30} & + 10.29 x_{1} & -0.66 x_{32} & -0.59 x_{31} & -0.76 x_{25} & -0.12 x_{22} & -0.25 x_{16} & +  1.73 x_{28} & +  0.07 x_{29} & -0.30 x_{21} & -1.36 x_{11} & -0.06 x_{26} & + 11.65 x_{8} & +  0.08 x_{20} & +  4.82 x_{15}\\
 x_{5}   &  2.49438762737 & +  0.00 x_{30} & +  0.74 x_{1} & -0.01 x_{32} & -0.05 x_{31} & -0.02 x_{25} & -0.03 x_{22} & -0.01 x_{16} & +  0.05 x_{28} & -0.01 x_{29} & +  0.00 x_{21} & +  0.25 x_{11} & -0.00 x_{26} & +  0.55 x_{8} & +  0.01 x_{20} & +  0.38 x_{15}\\
 x_{27}   &  39.6288830711 & +  0.62 x_{30} & +  6.00 x_{1} & +  0.33 x_{32} & -0.34 x_{31} & +  0.28 x_{25} & +  0.44 x_{22} & +  0.31 x_{16} & -0.41 x_{28} & +  0.20 x_{29} & +  0.28 x_{21} & +  0.23 x_{11} & -0.62 x_{26} & -1.22 x_{8} & +  0.32 x_{20} & -11.07 x_{15}\\
 x_{2}   &  2.36938178307 & -0.03 x_{30} & -0.23 x_{1} & -0.02 x_{32} & -0.04 x_{31} & -0.01 x_{25} & +  0.00 x_{22} & -0.03 x_{16} & +  0.01 x_{28} & +  0.02 x_{29} & -0.00 x_{21} & +  0.08 x_{11} & +  0.01 x_{26} & +  0.42 x_{8} & -0.04 x_{20} & -0.45 x_{15}\\
 x_{9}   &  1.71111478727 & -0.03 x_{30} & +  0.56 x_{1} & -0.01 x_{32} & -0.04 x_{31} & -0.02 x_{25} & +  0.01 x_{22} & +  0.02 x_{16} & +  0.07 x_{28} & +  0.04 x_{29} & -0.02 x_{21} & -0.07 x_{11} & -0.00 x_{26} & -0.02 x_{8} & +  0.02 x_{20} & +  0.39 x_{15}\\
 x_{13}   &  1.32987502241 & -0.01 x_{30} & -0.30 x_{1} & -0.03 x_{32} & +  0.04 x_{31} & -0.00 x_{25} & -0.02 x_{22} & +  0.01 x_{16} & +  0.01 x_{28} & -0.00 x_{29} & -0.04 x_{21} & -0.16 x_{11} & -0.02 x_{26} & -0.90 x_{8} & +  0.02 x_{20} & +  0.53 x_{15}\\
 x_{6}   &  3.24034667577 & -0.04 x_{30} & -0.78 x_{1} & +  0.03 x_{32} & +  0.08 x_{31} & -0.04 x_{25} & +  0.01 x_{22} & -0.02 x_{16} & -0.13 x_{28} & -0.03 x_{29} & +  0.02 x_{21} & -0.78 x_{11} & +  0.03 x_{26} & -0.56 x_{8} & +  0.01 x_{20} & +  0.23 x_{15}\\
 x_{14}   &  2.20749327035 & -0.01 x_{30} & -0.60 x_{1} & +  0.00 x_{32} & -0.03 x_{31} & +  0.01 x_{25} & -0.05 x_{22} & -0.02 x_{16} & +  0.07 x_{28} & +  0.05 x_{29} & -0.04 x_{21} & -0.13 x_{11} & +  0.02 x_{26} & +  0.03 x_{8} & -0.01 x_{20} & +  0.18 x_{15}\\
\hline
z    &  48.5408583326 & +  0.03 x_{30} & -8.65 x_{1} & +  0.26 x_{32} & +  0.26 x_{31} & -0.17 x_{25} & -0.12 x_{22} & -0.05 x_{16} & -0.13 x_{28} & -0.07 x_{29} & -0.18 x_{21} & -11.82 x_{11} & -0.25 x_{26} & -11.61 x_{8} & -0.06 x_{20} & -1.50 x_{15}\\
\end{array}\]


 $ x_{30} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  21.9126714724 & + 11.44 x_{4} & +  3.28 x_{1} & -0.13 x_{32} & -1.00 x_{31} & -0.02 x_{25} & -0.01 x_{22} & -1.12 x_{16} & -0.12 x_{28} & +  0.73 x_{29} & +  0.23 x_{21} & +  5.12 x_{11} & +  0.51 x_{26} & + 24.60 x_{8} & -0.36 x_{20} & -16.26 x_{15}\\
 x_{12}   &  3.2013258577 & -0.83 x_{4} & -0.61 x_{1} & +  0.04 x_{32} & +  0.06 x_{31} & -0.01 x_{25} & -0.01 x_{22} & +  0.04 x_{16} & -0.06 x_{28} & -0.03 x_{29} & -0.01 x_{21} & -0.39 x_{11} & -0.00 x_{26} & -1.77 x_{8} & -0.04 x_{20} & +  0.19 x_{15}\\
 x_{7}   &  1.08448864289 & +  0.84 x_{4} & +  0.35 x_{1} & -0.04 x_{32} & -0.06 x_{31} & -0.01 x_{25} & -0.01 x_{22} & -0.06 x_{16} & +  0.08 x_{28} & +  0.07 x_{29} & +  0.03 x_{21} & +  0.47 x_{11} & +  0.00 x_{26} & +  1.57 x_{8} & -0.02 x_{20} & -1.02 x_{15}\\
 x_{19}   &  111.461948282 & -24.88 x_{4} & +  5.17 x_{1} & +  0.35 x_{32} & -0.73 x_{31} & -0.27 x_{25} & +  0.07 x_{22} & +  0.34 x_{16} & +  0.47 x_{28} & -0.59 x_{29} & +  0.13 x_{21} & +  4.80 x_{11} & +  0.02 x_{26} & -5.26 x_{8} & -0.76 x_{20} & -6.84 x_{15}\\
 x_{10}   &  1.03434167206 & +  2.21 x_{4} & +  0.94 x_{1} & -0.07 x_{32} & -0.21 x_{31} & +  0.02 x_{25} & -0.02 x_{22} & -0.11 x_{16} & +  0.21 x_{28} & +  0.12 x_{29} & +  0.05 x_{21} & +  1.13 x_{11} & -0.06 x_{26} & +  3.60 x_{8} & -0.01 x_{20} & -1.88 x_{15}\\
 x_{18}   &  30.5044866383 & -10.79 x_{4} & -28.54 x_{1} & +  1.03 x_{32} & +  2.40 x_{31} & -0.27 x_{25} & -0.35 x_{22} & +  0.50 x_{16} & -2.77 x_{28} & -1.25 x_{29} & -0.61 x_{21} & -9.50 x_{11} & +  0.86 x_{26} & -33.79 x_{8} & +  0.11 x_{20} & +  9.80 x_{15}\\
 x_{30}   &  34.4566226569 & -46.12 x_{4} & -13.84 x_{1} & +  1.49 x_{32} & +  4.79 x_{31} & -1.01 x_{25} & +  0.56 x_{22} & +  1.73 x_{16} & -4.35 x_{28} & -3.09 x_{29} & -0.48 x_{21} & -22.56 x_{11} & +  1.27 x_{26} & -72.64 x_{8} & +  0.30 x_{20} & + 32.80 x_{15}\\
 x_{23}   &  25.3395339792 & + 15.15 x_{4} & +  8.24 x_{1} & -0.16 x_{32} & -1.99 x_{31} & -0.35 x_{25} & +  0.37 x_{22} & -1.05 x_{16} & +  0.96 x_{28} & +  0.42 x_{29} & +  0.61 x_{21} & +  2.28 x_{11} & -0.23 x_{26} & + 38.25 x_{8} & +  0.08 x_{20} & -17.89 x_{15}\\
 x_{3}   &  6.57366888778 & -1.19 x_{4} & -0.45 x_{1} & +  0.05 x_{32} & +  0.10 x_{31} & -0.06 x_{25} & +  0.03 x_{22} & +  0.01 x_{16} & -0.12 x_{28} & -0.07 x_{29} & -0.02 x_{21} & -1.26 x_{11} & +  0.02 x_{26} & -1.80 x_{8} & -0.03 x_{20} & +  0.23 x_{15}\\
 x_{17}   &  15.836122255 & + 12.35 x_{4} & + 14.00 x_{1} & -1.06 x_{32} & -1.87 x_{31} & -0.49 x_{25} & -0.27 x_{22} & -0.71 x_{16} & +  2.90 x_{28} & +  0.90 x_{29} & -0.17 x_{21} & +  4.68 x_{11} & -0.40 x_{26} & + 31.11 x_{8} & +  0.00 x_{20} & -3.96 x_{15}\\
 x_{5}   &  2.5378560734 & -0.06 x_{4} & +  0.73 x_{1} & -0.01 x_{32} & -0.05 x_{31} & -0.03 x_{25} & -0.03 x_{22} & -0.01 x_{16} & +  0.04 x_{28} & -0.02 x_{29} & +  0.00 x_{21} & +  0.22 x_{11} & +  0.00 x_{26} & +  0.46 x_{8} & +  0.01 x_{20} & +  0.42 x_{15}\\
 x_{27}   &  60.8755518531 & -28.44 x_{4} & -2.53 x_{1} & +  1.25 x_{32} & +  2.61 x_{31} & -0.34 x_{25} & +  0.78 x_{22} & +  1.38 x_{16} & -3.09 x_{28} & -1.71 x_{29} & -0.01 x_{21} & -13.68 x_{11} & +  0.17 x_{26} & -46.01 x_{8} & +  0.50 x_{20} & +  9.15 x_{15}\\
 x_{2}   &  1.42938496755 & +  1.26 x_{4} & +  0.15 x_{1} & -0.06 x_{32} & -0.17 x_{31} & +  0.02 x_{25} & -0.01 x_{22} & -0.08 x_{16} & +  0.13 x_{28} & +  0.10 x_{29} & +  0.01 x_{21} & +  0.69 x_{11} & -0.02 x_{26} & +  2.40 x_{8} & -0.05 x_{20} & -1.34 x_{15}\\
 x_{9}   &  0.678545077282 & +  1.38 x_{4} & +  0.97 x_{1} & -0.05 x_{32} & -0.18 x_{31} & +  0.01 x_{25} & -0.00 x_{22} & -0.04 x_{16} & +  0.20 x_{28} & +  0.13 x_{29} & -0.01 x_{21} & +  0.61 x_{11} & -0.04 x_{26} & +  2.16 x_{8} & +  0.01 x_{20} & -0.59 x_{15}\\
 x_{13}   &  1.01305438495 & +  0.42 x_{4} & -0.18 x_{1} & -0.04 x_{32} & -0.00 x_{31} & +  0.01 x_{25} & -0.03 x_{22} & -0.00 x_{16} & +  0.05 x_{28} & +  0.03 x_{29} & -0.03 x_{21} & +  0.05 x_{11} & -0.04 x_{26} & -0.24 x_{8} & +  0.02 x_{20} & +  0.22 x_{15}\\
 x_{6}   &  1.71812620989 & +  2.04 x_{4} & -0.17 x_{1} & -0.03 x_{32} & -0.13 x_{31} & +  0.00 x_{25} & -0.02 x_{22} & -0.10 x_{16} & +  0.06 x_{28} & +  0.10 x_{29} & +  0.04 x_{21} & +  0.22 x_{11} & -0.03 x_{26} & +  2.65 x_{8} & -0.00 x_{20} & -1.22 x_{15}\\
 x_{14}   &  1.98367116485 & +  0.30 x_{4} & -0.51 x_{1} & -0.01 x_{32} & -0.06 x_{31} & +  0.01 x_{25} & -0.05 x_{22} & -0.03 x_{16} & +  0.10 x_{28} & +  0.07 x_{29} & -0.04 x_{21} & +  0.02 x_{11} & +  0.01 x_{26} & +  0.50 x_{8} & -0.01 x_{20} & -0.03 x_{15}\\
\hline
z    &  49.644093112 & -1.48 x_{4} & -9.09 x_{1} & +  0.31 x_{32} & +  0.41 x_{31} & -0.20 x_{25} & -0.10 x_{22} & +  0.01 x_{16} & -0.27 x_{28} & -0.16 x_{29} & -0.19 x_{21} & -12.54 x_{11} & -0.21 x_{26} & -13.94 x_{8} & -0.05 x_{20} & -0.45 x_{15}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  11.3609591162 & -11.13 x_{4} & -6.31 x_{1} & +  0.61 x_{32} & +  1.19 x_{31} & -0.27 x_{25} & +  0.19 x_{22} & + 10.20 x_{10} & -2.29 x_{28} & -0.48 x_{29} & -0.33 x_{21} & -6.42 x_{11} & +  1.16 x_{26} & -12.09 x_{8} & -0.26 x_{20} & +  2.96 x_{15}\\
 x_{12}   &  3.57808098892 & -0.02 x_{4} & -0.27 x_{1} & +  0.02 x_{32} & -0.02 x_{31} & -0.00 x_{25} & -0.02 x_{22} & -0.36 x_{10} & +  0.02 x_{28} & +  0.01 x_{29} & +  0.01 x_{21} & +  0.02 x_{11} & -0.02 x_{26} & -0.46 x_{8} & -0.04 x_{20} & -0.49 x_{15}\\
 x_{7}   &  0.56370666796 & -0.28 x_{4} & -0.12 x_{1} & -0.01 x_{32} & +  0.04 x_{31} & -0.02 x_{25} & -0.00 x_{22} & +  0.50 x_{10} & -0.03 x_{28} & +  0.01 x_{29} & +  0.01 x_{21} & -0.10 x_{11} & +  0.03 x_{26} & -0.24 x_{8} & -0.02 x_{20} & -0.07 x_{15}\\
 x_{19}   &  114.668381221 & -18.02 x_{4} & +  8.08 x_{1} & +  0.12 x_{32} & -1.40 x_{31} & -0.20 x_{25} & +  0.01 x_{22} & -3.10 x_{10} & +  1.13 x_{28} & -0.22 x_{29} & +  0.30 x_{21} & +  8.31 x_{11} & -0.18 x_{26} & +  5.88 x_{8} & -0.79 x_{20} & -12.68 x_{15}\\
 x_{16}   &  9.38424160699 & + 20.07 x_{4} & +  8.53 x_{1} & -0.66 x_{32} & -1.95 x_{31} & +  0.22 x_{25} & -0.18 x_{22} & -9.07 x_{10} & +  1.93 x_{28} & +  1.08 x_{29} & +  0.49 x_{21} & + 10.26 x_{11} & -0.57 x_{26} & + 32.63 x_{8} & -0.09 x_{20} & -17.09 x_{15}\\
 x_{18}   &  35.192133796 & -0.76 x_{4} & -24.28 x_{1} & +  0.71 x_{32} & +  1.43 x_{31} & -0.16 x_{25} & -0.44 x_{22} & -4.53 x_{10} & -1.80 x_{28} & -0.72 x_{29} & -0.36 x_{21} & -4.37 x_{11} & +  0.58 x_{26} & -17.49 x_{8} & +  0.07 x_{20} & +  1.27 x_{15}\\
 x_{30}   &  50.7173537276 & -11.34 x_{4} & +  0.94 x_{1} & +  0.36 x_{32} & +  1.41 x_{31} & -0.62 x_{25} & +  0.25 x_{22} & -15.72 x_{10} & -1.00 x_{28} & -1.22 x_{29} & +  0.38 x_{21} & -4.79 x_{11} & +  0.28 x_{26} & -16.10 x_{8} & +  0.15 x_{20} & +  3.19 x_{15}\\
 x_{23}   &  15.5190083652 & -5.86 x_{4} & -0.68 x_{1} & +  0.53 x_{32} & +  0.04 x_{31} & -0.58 x_{25} & +  0.56 x_{22} & +  9.49 x_{10} & -1.07 x_{28} & -0.71 x_{29} & +  0.10 x_{21} & -8.46 x_{11} & +  0.37 x_{26} & +  4.11 x_{8} & +  0.18 x_{20} & -0.01 x_{15}\\
 x_{3}   &  6.66076153896 & -1.00 x_{4} & -0.37 x_{1} & +  0.04 x_{32} & +  0.08 x_{31} & -0.06 x_{25} & +  0.03 x_{22} & -0.08 x_{10} & -0.10 x_{28} & -0.06 x_{29} & -0.01 x_{21} & -1.16 x_{11} & +  0.01 x_{26} & -1.50 x_{8} & -0.03 x_{20} & +  0.07 x_{15}\\
 x_{17}   &  9.15333691273 & -1.94 x_{4} & +  7.92 x_{1} & -0.59 x_{32} & -0.49 x_{31} & -0.65 x_{25} & -0.15 x_{22} & +  6.46 x_{10} & +  1.52 x_{28} & +  0.13 x_{29} & -0.52 x_{21} & -2.63 x_{11} & +  0.01 x_{26} & +  7.87 x_{8} & +  0.07 x_{20} & +  8.21 x_{15}\\
 x_{5}   &  2.44018482663 & -0.27 x_{4} & +  0.64 x_{1} & -0.01 x_{32} & -0.03 x_{31} & -0.03 x_{25} & -0.03 x_{22} & +  0.09 x_{10} & +  0.02 x_{28} & -0.03 x_{29} & -0.00 x_{21} & +  0.11 x_{11} & +  0.01 x_{26} & +  0.12 x_{8} & +  0.01 x_{20} & +  0.60 x_{15}\\
 x_{27}   &  73.8020979522 & -0.79 x_{4} & +  9.22 x_{1} & +  0.35 x_{32} & -0.07 x_{31} & -0.04 x_{25} & +  0.54 x_{22} & -12.50 x_{10} & -0.43 x_{28} & -0.22 x_{29} & +  0.67 x_{21} & +  0.45 x_{11} & -0.62 x_{26} & -1.07 x_{8} & +  0.38 x_{20} & -14.39 x_{15}\\
 x_{2}   &  0.701209998765 & -0.30 x_{4} & -0.51 x_{1} & -0.01 x_{32} & -0.02 x_{31} & +  0.00 x_{25} & +  0.00 x_{22} & +  0.70 x_{10} & -0.02 x_{28} & +  0.02 x_{29} & -0.03 x_{21} & -0.11 x_{11} & +  0.02 x_{26} & -0.13 x_{8} & -0.04 x_{20} & -0.02 x_{15}\\
 x_{9}   &  0.343227163149 & +  0.66 x_{4} & +  0.67 x_{1} & -0.03 x_{32} & -0.11 x_{31} & +  0.00 x_{25} & +  0.00 x_{22} & +  0.32 x_{10} & +  0.13 x_{28} & +  0.09 x_{29} & -0.02 x_{21} & +  0.24 x_{11} & -0.02 x_{26} & +  1.00 x_{8} & +  0.01 x_{20} & +  0.02 x_{15}\\
 x_{13}   &  0.969122516756 & +  0.33 x_{4} & -0.22 x_{1} & -0.04 x_{32} & +  0.01 x_{31} & +  0.01 x_{25} & -0.03 x_{22} & +  0.04 x_{10} & +  0.04 x_{28} & +  0.02 x_{29} & -0.03 x_{21} & +  0.00 x_{11} & -0.03 x_{26} & -0.39 x_{8} & +  0.02 x_{20} & +  0.30 x_{15}\\
 x_{6}   &  0.822209196153 & +  0.12 x_{4} & -0.99 x_{1} & +  0.03 x_{32} & +  0.05 x_{31} & -0.02 x_{25} & -0.00 x_{22} & +  0.87 x_{10} & -0.12 x_{28} & +  0.00 x_{29} & -0.01 x_{21} & -0.76 x_{11} & +  0.02 x_{26} & -0.47 x_{8} & +  0.00 x_{20} & +  0.42 x_{15}\\
 x_{14}   &  1.68547829528 & -0.34 x_{4} & -0.79 x_{1} & +  0.02 x_{32} & +  0.00 x_{31} & +  0.01 x_{25} & -0.04 x_{22} & +  0.29 x_{10} & +  0.04 x_{28} & +  0.03 x_{29} & -0.05 x_{21} & -0.31 x_{11} & +  0.03 x_{26} & -0.54 x_{8} & -0.01 x_{20} & +  0.51 x_{15}\\
\hline
z    &  49.7245009854 & -1.30 x_{4} & -9.02 x_{1} & +  0.31 x_{32} & +  0.39 x_{31} & -0.20 x_{25} & -0.11 x_{22} & -0.08 x_{10} & -0.25 x_{28} & -0.15 x_{29} & -0.19 x_{21} & -12.46 x_{11} & -0.22 x_{26} & -13.66 x_{8} & -0.05 x_{20} & -0.60 x_{15}\\
\end{array}\]


 $ x_{31} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  15.0813858155 & -3.92 x_{4} & +  0.94 x_{1} & +  0.32 x_{32} & -10.84 x_{9} & -0.23 x_{25} & +  0.22 x_{22} & + 13.72 x_{10} & -0.86 x_{28} & +  0.50 x_{29} & -0.58 x_{21} & -3.81 x_{11} & +  0.91 x_{26} & -1.30 x_{8} & -0.11 x_{20} & +  3.14 x_{15}\\
 x_{12}   &  3.51659984528 & -0.14 x_{4} & -0.39 x_{1} & +  0.02 x_{32} & +  0.18 x_{9} & -0.00 x_{25} & -0.02 x_{22} & -0.42 x_{10} & -0.00 x_{28} & -0.00 x_{29} & +  0.02 x_{21} & -0.02 x_{11} & -0.02 x_{26} & -0.64 x_{8} & -0.04 x_{20} & -0.50 x_{15}\\
 x_{7}   &  0.700098340954 & -0.01 x_{4} & +  0.15 x_{1} & -0.02 x_{32} & -0.40 x_{9} & -0.02 x_{25} & -0.00 x_{22} & +  0.63 x_{10} & +  0.02 x_{28} & +  0.04 x_{29} & -0.00 x_{21} & -0.00 x_{11} & +  0.03 x_{26} & +  0.15 x_{8} & -0.01 x_{20} & -0.06 x_{15}\\
 x_{19}   &  110.306615822 & -26.47 x_{4} & -0.42 x_{1} & +  0.46 x_{32} & + 12.71 x_{9} & -0.24 x_{25} & -0.02 x_{22} & -7.22 x_{10} & -0.54 x_{28} & -1.37 x_{29} & +  0.60 x_{21} & +  5.25 x_{11} & +  0.11 x_{26} & -6.77 x_{8} & -0.96 x_{20} & -12.89 x_{15}\\
 x_{16}   &  3.30230943539 & +  8.29 x_{4} & -3.32 x_{1} & -0.18 x_{32} & + 17.72 x_{9} & +  0.16 x_{25} & -0.23 x_{22} & -14.82 x_{10} & -0.41 x_{28} & -0.52 x_{29} & +  0.91 x_{21} & +  6.00 x_{11} & -0.17 x_{26} & + 14.98 x_{8} & -0.33 x_{20} & -17.39 x_{15}\\
 x_{18}   &  39.6505680597 & +  7.87 x_{4} & -15.60 x_{1} & +  0.36 x_{32} & -12.99 x_{9} & -0.12 x_{25} & -0.40 x_{22} & -0.32 x_{10} & -0.09 x_{28} & +  0.46 x_{29} & -0.67 x_{21} & -1.25 x_{11} & +  0.28 x_{26} & -4.56 x_{8} & +  0.24 x_{20} & +  1.48 x_{15}\\
 x_{30}   &  55.1358526583 & -2.78 x_{4} & +  9.55 x_{1} & +  0.02 x_{32} & -12.87 x_{9} & -0.57 x_{25} & +  0.29 x_{22} & -11.55 x_{10} & +  0.70 x_{28} & -0.05 x_{29} & +  0.08 x_{21} & -1.69 x_{11} & -0.01 x_{26} & -3.28 x_{8} & +  0.32 x_{20} & +  3.40 x_{15}\\
 x_{23}   &  15.6484300276 & -5.61 x_{4} & -0.43 x_{1} & +  0.52 x_{32} & -0.38 x_{9} & -0.58 x_{25} & +  0.56 x_{22} & +  9.62 x_{10} & -1.02 x_{28} & -0.67 x_{29} & +  0.09 x_{21} & -8.37 x_{11} & +  0.36 x_{26} & +  4.48 x_{8} & +  0.18 x_{20} & +  0.00 x_{15}\\
 x_{3}   &  6.91475024371 & -0.51 x_{4} & +  0.12 x_{1} & +  0.02 x_{32} & -0.74 x_{9} & -0.05 x_{25} & +  0.03 x_{22} & +  0.16 x_{10} & -0.00 x_{28} & +  0.01 x_{29} & -0.03 x_{21} & -0.98 x_{11} & -0.00 x_{26} & -0.76 x_{8} & -0.02 x_{20} & +  0.08 x_{15}\\
 x_{17}   &  7.63598905375 & -4.88 x_{4} & +  4.97 x_{1} & -0.47 x_{32} & +  4.42 x_{9} & -0.66 x_{25} & -0.16 x_{22} & +  5.03 x_{10} & +  0.94 x_{28} & -0.27 x_{29} & -0.42 x_{21} & -3.69 x_{11} & +  0.10 x_{26} & +  3.47 x_{8} & +  0.01 x_{20} & +  8.13 x_{15}\\
 x_{5}   &  2.35412826595 & -0.43 x_{4} & +  0.47 x_{1} & +  0.00 x_{32} & +  0.25 x_{9} & -0.03 x_{25} & -0.03 x_{22} & +  0.01 x_{10} & -0.01 x_{28} & -0.05 x_{29} & +  0.00 x_{21} & +  0.05 x_{11} & +  0.01 x_{26} & -0.13 x_{8} & +  0.01 x_{20} & +  0.60 x_{15}\\
 x_{27}   &  73.5801507226 & -1.22 x_{4} & +  8.78 x_{1} & +  0.36 x_{32} & +  0.65 x_{9} & -0.04 x_{25} & +  0.54 x_{22} & -12.71 x_{10} & -0.52 x_{28} & -0.28 x_{29} & +  0.68 x_{21} & +  0.30 x_{11} & -0.61 x_{26} & -1.72 x_{8} & +  0.37 x_{20} & -14.40 x_{15}\\
 x_{2}   &  0.638642980461 & -0.42 x_{4} & -0.63 x_{1} & -0.00 x_{32} & +  0.18 x_{9} & +  0.00 x_{25} & +  0.00 x_{22} & +  0.64 x_{10} & -0.05 x_{28} & +  0.00 x_{29} & -0.03 x_{21} & -0.15 x_{11} & +  0.02 x_{26} & -0.32 x_{8} & -0.04 x_{20} & -0.02 x_{15}\\
 x_{31}   &  3.12580521399 & +  6.06 x_{4} & +  6.09 x_{1} & -0.24 x_{32} & -9.11 x_{9} & +  0.03 x_{25} & +  0.03 x_{22} & +  2.95 x_{10} & +  1.20 x_{28} & +  0.82 x_{29} & -0.21 x_{21} & +  2.19 x_{11} & -0.21 x_{26} & +  9.07 x_{8} & +  0.12 x_{20} & +  0.15 x_{15}\\
 x_{13}   &  0.993418060513 & +  0.38 x_{4} & -0.17 x_{1} & -0.04 x_{32} & -0.07 x_{9} & +  0.01 x_{25} & -0.03 x_{22} & +  0.07 x_{10} & +  0.05 x_{28} & +  0.03 x_{29} & -0.04 x_{21} & +  0.02 x_{11} & -0.04 x_{26} & -0.32 x_{8} & +  0.02 x_{20} & +  0.31 x_{15}\\
 x_{6}   &  0.98780805533 & +  0.44 x_{4} & -0.66 x_{1} & +  0.02 x_{32} & -0.48 x_{9} & -0.02 x_{25} & +  0.00 x_{22} & +  1.02 x_{10} & -0.06 x_{28} & +  0.05 x_{29} & -0.02 x_{21} & -0.64 x_{11} & +  0.01 x_{26} & +  0.01 x_{8} & +  0.01 x_{20} & +  0.42 x_{15}\\
 x_{14}   &  1.68868107818 & -0.33 x_{4} & -0.78 x_{1} & +  0.02 x_{32} & -0.01 x_{9} & +  0.01 x_{25} & -0.04 x_{22} & +  0.29 x_{10} & +  0.04 x_{28} & +  0.03 x_{29} & -0.05 x_{21} & -0.31 x_{11} & +  0.03 x_{26} & -0.53 x_{8} & -0.01 x_{20} & +  0.51 x_{15}\\
\hline
z    &  50.9529705748 & +  1.07 x_{4} & -6.63 x_{1} & +  0.21 x_{32} & -3.58 x_{9} & -0.18 x_{25} & -0.10 x_{22} & +  1.08 x_{10} & +  0.22 x_{28} & +  0.17 x_{29} & -0.27 x_{21} & -11.59 x_{11} & -0.30 x_{26} & -10.09 x_{8} & -0.00 x_{20} & -0.54 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  9.12791177546 & +  9.32 x_{2} & +  6.86 x_{1} & +  0.33 x_{32} & -12.54 x_{9} & -0.27 x_{25} & +  0.21 x_{22} & +  7.70 x_{10} & -0.44 x_{28} & +  0.47 x_{29} & -0.35 x_{21} & -2.42 x_{11} & +  0.69 x_{26} & +  1.65 x_{8} & +  0.29 x_{20} & +  3.32 x_{15}\\
 x_{12}   &  3.3043156663 & +  0.33 x_{2} & -0.18 x_{1} & +  0.02 x_{32} & +  0.12 x_{9} & -0.01 x_{25} & -0.02 x_{22} & -0.64 x_{10} & +  0.01 x_{28} & -0.00 x_{29} & +  0.02 x_{21} & +  0.03 x_{11} & -0.03 x_{26} & -0.53 x_{8} & -0.03 x_{20} & -0.49 x_{15}\\
 x_{7}   &  0.679669266038 & +  0.03 x_{2} & +  0.17 x_{1} & -0.02 x_{32} & -0.40 x_{9} & -0.02 x_{25} & -0.00 x_{22} & +  0.61 x_{10} & +  0.03 x_{28} & +  0.04 x_{29} & -0.00 x_{21} & +  0.00 x_{11} & +  0.03 x_{26} & +  0.16 x_{8} & -0.01 x_{20} & -0.06 x_{15}\\
 x_{19}   &  70.1220393859 & + 62.92 x_{2} & + 39.53 x_{1} & +  0.53 x_{32} & +  1.24 x_{9} & -0.51 x_{25} & -0.13 x_{22} & -47.80 x_{10} & +  2.29 x_{28} & -1.58 x_{29} & +  2.17 x_{21} & + 14.63 x_{11} & -1.40 x_{26} & + 13.14 x_{8} & +  1.77 x_{20} & -11.70 x_{15}\\
 x_{16}   &  15.8935852504 & -19.72 x_{2} & -15.84 x_{1} & -0.21 x_{32} & + 21.31 x_{9} & +  0.24 x_{25} & -0.19 x_{22} & -2.10 x_{10} & -1.30 x_{28} & -0.46 x_{29} & +  0.42 x_{21} & +  3.06 x_{11} & +  0.30 x_{26} & +  8.74 x_{8} & -1.18 x_{20} & -17.76 x_{15}\\
 x_{18}   &  51.6042296812 & -18.72 x_{2} & -27.48 x_{1} & +  0.34 x_{32} & -9.58 x_{9} & -0.04 x_{25} & -0.37 x_{22} & + 11.75 x_{10} & -0.93 x_{28} & +  0.52 x_{29} & -1.13 x_{21} & -4.04 x_{11} & +  0.73 x_{26} & -10.48 x_{8} & -0.57 x_{20} & +  1.13 x_{15}\\
 x_{30}   &  50.9159443196 & +  6.61 x_{2} & + 13.74 x_{1} & +  0.02 x_{32} & -14.08 x_{9} & -0.60 x_{25} & +  0.28 x_{22} & -15.81 x_{10} & +  0.99 x_{28} & -0.07 x_{29} & +  0.24 x_{21} & -0.70 x_{11} & -0.17 x_{26} & -1.19 x_{8} & +  0.61 x_{20} & +  3.53 x_{15}\\
 x_{23}   &  7.13708058441 & + 13.33 x_{2} & +  8.03 x_{1} & +  0.53 x_{32} & -2.81 x_{9} & -0.63 x_{25} & +  0.53 x_{22} & +  1.02 x_{10} & -0.42 x_{28} & -0.72 x_{29} & +  0.42 x_{21} & -6.38 x_{11} & +  0.04 x_{26} & +  8.70 x_{8} & +  0.76 x_{20} & +  0.25 x_{15}\\
 x_{3}   &  6.13888388747 & +  1.21 x_{2} & +  0.89 x_{1} & +  0.02 x_{32} & -0.96 x_{9} & -0.06 x_{25} & +  0.03 x_{22} & -0.63 x_{10} & +  0.05 x_{28} & +  0.01 x_{29} & +  0.00 x_{21} & -0.80 x_{11} & -0.03 x_{26} & -0.38 x_{8} & +  0.03 x_{20} & +  0.11 x_{15}\\
 x_{17}   &  0.225422496614 & + 11.60 x_{2} & + 12.33 x_{1} & -0.46 x_{32} & +  2.31 x_{9} & -0.71 x_{25} & -0.18 x_{22} & -2.46 x_{10} & +  1.46 x_{28} & -0.31 x_{29} & -0.13 x_{21} & -1.96 x_{11} & -0.17 x_{26} & +  7.14 x_{8} & +  0.51 x_{20} & +  8.35 x_{15}\\
 x_{5}   &  1.69544688792 & +  1.03 x_{2} & +  1.13 x_{1} & +  0.00 x_{32} & +  0.06 x_{9} & -0.03 x_{25} & -0.03 x_{22} & -0.65 x_{10} & +  0.04 x_{28} & -0.05 x_{29} & +  0.03 x_{21} & +  0.20 x_{11} & -0.01 x_{26} & +  0.20 x_{8} & +  0.05 x_{20} & +  0.62 x_{15}\\
 x_{27}   &  71.7304001057 & +  2.90 x_{2} & + 10.62 x_{1} & +  0.37 x_{32} & +  0.12 x_{9} & -0.05 x_{25} & +  0.53 x_{22} & -14.57 x_{10} & -0.39 x_{28} & -0.29 x_{29} & +  0.75 x_{21} & +  0.73 x_{11} & -0.67 x_{26} & -0.80 x_{8} & +  0.50 x_{20} & -14.34 x_{15}\\
 x_{4}   &  1.51833223458 & -2.38 x_{2} & -1.51 x_{1} & -0.00 x_{32} & +  0.43 x_{9} & +  0.01 x_{25} & +  0.00 x_{22} & +  1.53 x_{10} & -0.11 x_{28} & +  0.01 x_{29} & -0.06 x_{21} & -0.35 x_{11} & +  0.06 x_{26} & -0.75 x_{8} & -0.10 x_{20} & -0.05 x_{15}\\
 x_{31}   &  12.3193565481 & -14.40 x_{2} & -3.05 x_{1} & -0.26 x_{32} & -6.48 x_{9} & +  0.09 x_{25} & +  0.05 x_{22} & + 12.24 x_{10} & +  0.55 x_{28} & +  0.87 x_{29} & -0.57 x_{21} & +  0.05 x_{11} & +  0.14 x_{26} & +  4.51 x_{8} & -0.50 x_{20} & -0.12 x_{15}\\
 x_{13}   &  1.56608995595 & -0.90 x_{2} & -0.74 x_{1} & -0.04 x_{32} & +  0.09 x_{9} & +  0.01 x_{25} & -0.02 x_{22} & +  0.64 x_{10} & +  0.01 x_{28} & +  0.03 x_{29} & -0.06 x_{21} & -0.11 x_{11} & -0.01 x_{26} & -0.60 x_{8} & -0.02 x_{20} & +  0.29 x_{15}\\
 x_{6}   &  1.65873107727 & -1.05 x_{2} & -1.33 x_{1} & +  0.02 x_{32} & -0.29 x_{9} & -0.01 x_{25} & +  0.00 x_{22} & +  1.70 x_{10} & -0.10 x_{28} & +  0.05 x_{29} & -0.04 x_{21} & -0.80 x_{11} & +  0.04 x_{26} & -0.32 x_{8} & -0.03 x_{20} & +  0.40 x_{15}\\
 x_{14}   &  1.18448550771 & +  0.79 x_{2} & -0.28 x_{1} & +  0.02 x_{32} & -0.15 x_{9} & +  0.00 x_{25} & -0.05 x_{22} & -0.22 x_{10} & +  0.08 x_{28} & +  0.03 x_{29} & -0.03 x_{21} & -0.19 x_{11} & +  0.01 x_{26} & -0.28 x_{8} & +  0.02 x_{20} & +  0.52 x_{15}\\
\hline
z    &  52.5850789306 & -2.56 x_{2} & -8.25 x_{1} & +  0.21 x_{32} & -3.11 x_{9} & -0.17 x_{25} & -0.09 x_{22} & +  2.73 x_{10} & +  0.11 x_{28} & +  0.18 x_{29} & -0.34 x_{21} & -11.98 x_{11} & -0.24 x_{26} & -10.90 x_{8} & -0.11 x_{20} & -0.59 x_{15}\\
\end{array}\]


 $ x_{10} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  9.83513477839 & + 45.73 x_{2} & + 45.55 x_{1} & -1.11 x_{32} & -5.31 x_{9} & -2.51 x_{25} & -0.36 x_{22} & -3.14 x_{17} & +  4.15 x_{28} & -0.51 x_{29} & -0.75 x_{21} & -8.57 x_{11} & +  0.15 x_{26} & + 24.07 x_{8} & +  1.88 x_{20} & + 29.52 x_{15}\\
 x_{12}   &  3.24586539549 & -2.68 x_{2} & -3.37 x_{1} & +  0.14 x_{32} & -0.48 x_{9} & +  0.18 x_{25} & +  0.03 x_{22} & +  0.26 x_{17} & -0.37 x_{28} & +  0.08 x_{29} & +  0.06 x_{21} & +  0.54 x_{11} & +  0.02 x_{26} & -2.39 x_{8} & -0.16 x_{20} & -2.65 x_{15}\\
 x_{7}   &  0.735824900234 & +  2.92 x_{2} & +  3.24 x_{1} & -0.13 x_{32} & +  0.17 x_{9} & -0.20 x_{25} & -0.05 x_{22} & -0.25 x_{17} & +  0.39 x_{28} & -0.03 x_{29} & -0.03 x_{21} & -0.49 x_{11} & -0.02 x_{26} & +  1.94 x_{8} & +  0.11 x_{20} & +  2.02 x_{15}\\
 x_{19}   &  65.7339455178 & -162.96 x_{2} & -200.58 x_{1} & +  9.49 x_{32} & -43.64 x_{9} & + 13.34 x_{25} & +  3.36 x_{22} & + 19.47 x_{17} & -26.20 x_{28} & +  4.48 x_{29} & +  4.66 x_{21} & + 52.77 x_{11} & +  1.97 x_{26} & -125.92 x_{8} & -8.12 x_{20} & -174.30 x_{15}\\
 x_{16}   &  15.7005673675 & -29.65 x_{2} & -26.40 x_{1} & +  0.19 x_{32} & + 19.34 x_{9} & +  0.85 x_{25} & -0.04 x_{22} & +  0.86 x_{17} & -2.55 x_{28} & -0.19 x_{29} & +  0.53 x_{21} & +  4.73 x_{11} & +  0.45 x_{26} & +  2.63 x_{8} & -1.62 x_{20} & -24.91 x_{15}\\
 x_{18}   &  52.6829240243 & + 36.81 x_{2} & + 31.54 x_{1} & -1.86 x_{32} & +  1.46 x_{9} & -3.44 x_{25} & -1.23 x_{22} & -4.79 x_{17} & +  6.08 x_{28} & -0.97 x_{29} & -1.75 x_{21} & -13.41 x_{11} & -0.09 x_{26} & + 23.71 x_{8} & +  1.86 x_{20} & + 41.10 x_{15}\\
 x_{30}   &  49.4646275163 & -68.10 x_{2} & -65.67 x_{1} & +  2.99 x_{32} & -28.92 x_{9} & +  3.98 x_{25} & +  1.43 x_{22} & +  6.44 x_{17} & -8.43 x_{28} & +  1.93 x_{29} & +  1.07 x_{21} & + 11.91 x_{11} & +  0.95 x_{26} & -47.19 x_{8} & -2.66 x_{20} & -50.25 x_{15}\\
 x_{23}   &  7.23089907397 & + 18.16 x_{2} & + 13.16 x_{1} & +  0.34 x_{32} & -1.85 x_{9} & -0.93 x_{25} & +  0.46 x_{22} & -0.42 x_{17} & +  0.19 x_{28} & -0.85 x_{29} & +  0.37 x_{21} & -7.20 x_{11} & -0.03 x_{26} & + 11.67 x_{8} & +  0.97 x_{20} & +  3.73 x_{15}\\
 x_{3}   &  6.08125128445 & -1.75 x_{2} & -2.26 x_{1} & +  0.14 x_{32} & -1.55 x_{9} & +  0.12 x_{25} & +  0.08 x_{22} & +  0.26 x_{17} & -0.32 x_{28} & +  0.09 x_{29} & +  0.03 x_{21} & -0.30 x_{11} & +  0.01 x_{26} & -2.20 x_{8} & -0.10 x_{20} & -2.03 x_{15}\\
 x_{10}   &  0.0918045887457 & +  4.73 x_{2} & +  5.02 x_{1} & -0.19 x_{32} & +  0.94 x_{9} & -0.29 x_{25} & -0.07 x_{22} & -0.41 x_{17} & +  0.60 x_{28} & -0.13 x_{29} & -0.05 x_{21} & -0.80 x_{11} & -0.07 x_{26} & +  2.91 x_{8} & +  0.21 x_{20} & +  3.40 x_{15}\\
 x_{5}   &  1.63559110292 & -2.05 x_{2} & -2.15 x_{1} & +  0.12 x_{32} & -0.55 x_{9} & +  0.16 x_{25} & +  0.02 x_{22} & +  0.27 x_{17} & -0.35 x_{28} & +  0.03 x_{29} & +  0.06 x_{21} & +  0.72 x_{11} & +  0.03 x_{26} & -1.70 x_{8} & -0.09 x_{20} & -1.60 x_{15}\\
 x_{27}   &  70.3923592109 & -65.98 x_{2} & -62.59 x_{1} & +  3.10 x_{32} & -13.57 x_{9} & +  4.17 x_{25} & +  1.60 x_{22} & +  5.94 x_{17} & -9.08 x_{28} & +  1.56 x_{29} & +  1.51 x_{21} & + 12.36 x_{11} & +  0.35 x_{26} & -43.20 x_{8} & -2.52 x_{20} & -63.92 x_{15}\\
 x_{4}   &  1.65908834256 & +  4.87 x_{2} & +  6.19 x_{1} & -0.29 x_{32} & +  1.87 x_{9} & -0.43 x_{25} & -0.11 x_{22} & -0.62 x_{17} & +  0.81 x_{28} & -0.19 x_{29} & -0.14 x_{21} & -1.58 x_{11} & -0.05 x_{26} & +  3.71 x_{8} & +  0.21 x_{20} & +  5.17 x_{15}\\
 x_{31}   &  13.4426818784 & + 43.43 x_{2} & + 58.42 x_{1} & -2.55 x_{32} & +  5.01 x_{9} & -3.45 x_{25} & -0.84 x_{22} & -4.98 x_{17} & +  7.85 x_{28} & -0.68 x_{29} & -1.21 x_{21} & -9.72 x_{11} & -0.72 x_{26} & + 40.11 x_{8} & +  2.03 x_{20} & + 41.50 x_{15}\\
 x_{13}   &  1.62518510916 & +  2.15 x_{2} & +  2.49 x_{1} & -0.16 x_{32} & +  0.70 x_{9} & -0.17 x_{25} & -0.07 x_{22} & -0.26 x_{17} & +  0.39 x_{28} & -0.05 x_{29} & -0.09 x_{21} & -0.63 x_{11} & -0.06 x_{26} & +  1.27 x_{8} & +  0.11 x_{20} & +  2.48 x_{15}\\
 x_{6}   &  1.81480638621 & +  6.98 x_{2} & +  7.21 x_{1} & -0.30 x_{32} & +  1.31 x_{9} & -0.50 x_{25} & -0.12 x_{22} & -0.69 x_{17} & +  0.91 x_{28} & -0.17 x_{29} & -0.13 x_{21} & -2.16 x_{11} & -0.08 x_{26} & +  4.63 x_{8} & +  0.32 x_{20} & +  6.19 x_{15}\\
 x_{14}   &  1.16448863508 & -0.24 x_{2} & -1.37 x_{1} & +  0.06 x_{32} & -0.36 x_{9} & +  0.07 x_{25} & -0.03 x_{22} & +  0.09 x_{17} & -0.05 x_{28} & +  0.06 x_{29} & -0.02 x_{21} & -0.02 x_{11} & +  0.02 x_{26} & -0.91 x_{8} & -0.02 x_{20} & -0.22 x_{15}\\
\hline
z    &  52.8357680031 & + 10.35 x_{2} & +  5.47 x_{1} & -0.30 x_{32} & -0.55 x_{9} & -0.97 x_{25} & -0.29 x_{22} & -1.11 x_{17} & +  1.73 x_{28} & -0.17 x_{29} & -0.48 x_{21} & -14.15 x_{11} & -0.43 x_{26} & -2.96 x_{8} & +  0.45 x_{20} & +  8.70 x_{15}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  24.7640817667 & +  8.72 x_{2} & -0.23 x_{19} & +  1.04 x_{32} & -15.22 x_{9} & +  0.52 x_{25} & +  0.41 x_{22} & +  1.28 x_{17} & -1.80 x_{28} & +  0.51 x_{29} & +  0.31 x_{21} & +  3.42 x_{11} & +  0.59 x_{26} & -4.53 x_{8} & +  0.04 x_{20} & -10.06 x_{15}\\
 x_{12}   &  2.13984817071 & +  0.07 x_{2} & +  0.02 x_{19} & -0.02 x_{32} & +  0.26 x_{9} & -0.05 x_{25} & -0.03 x_{22} & -0.07 x_{17} & +  0.07 x_{28} & +  0.00 x_{29} & -0.02 x_{21} & -0.35 x_{11} & -0.02 x_{26} & -0.27 x_{8} & -0.02 x_{20} & +  0.28 x_{15}\\
 x_{7}   &  1.79744529083 & +  0.29 x_{2} & -0.02 x_{19} & +  0.02 x_{32} & -0.53 x_{9} & +  0.02 x_{25} & +  0.01 x_{22} & +  0.07 x_{17} & -0.03 x_{28} & +  0.04 x_{29} & +  0.04 x_{21} & +  0.37 x_{11} & +  0.01 x_{26} & -0.09 x_{8} & -0.02 x_{20} & -0.80 x_{15}\\
 x_{1}   &  0.327722322339 & -0.81 x_{2} & -0.00 x_{19} & +  0.05 x_{32} & -0.22 x_{9} & +  0.07 x_{25} & +  0.02 x_{22} & +  0.10 x_{17} & -0.13 x_{28} & +  0.02 x_{29} & +  0.02 x_{21} & +  0.26 x_{11} & +  0.01 x_{26} & -0.63 x_{8} & -0.04 x_{20} & -0.87 x_{15}\\
 x_{16}   &  7.04947674351 & -8.21 x_{2} & +  0.13 x_{19} & -1.06 x_{32} & + 25.08 x_{9} & -0.91 x_{25} & -0.48 x_{22} & -1.71 x_{17} & +  0.90 x_{28} & -0.78 x_{29} & -0.09 x_{21} & -2.21 x_{11} & +  0.19 x_{26} & + 19.20 x_{8} & -0.55 x_{20} & -1.97 x_{15}\\
 x_{18}   &  63.0202580716 & + 11.18 x_{2} & -0.16 x_{19} & -0.37 x_{32} & -5.41 x_{9} & -1.34 x_{25} & -0.70 x_{22} & -1.72 x_{17} & +  1.96 x_{28} & -0.26 x_{29} & -1.01 x_{21} & -5.11 x_{11} & +  0.22 x_{26} & +  3.90 x_{8} & +  0.59 x_{20} & + 13.69 x_{15}\\
 x_{30}   &  27.9424666161 & -14.75 x_{2} & +  0.33 x_{19} & -0.12 x_{32} & -14.63 x_{9} & -0.39 x_{25} & +  0.33 x_{22} & +  0.06 x_{17} & +  0.15 x_{28} & +  0.46 x_{29} & -0.46 x_{21} & -5.37 x_{11} & +  0.30 x_{26} & -5.96 x_{8} & -0.00 x_{20} & +  6.82 x_{15}\\
 x_{23}   &  11.5450299993 & +  7.46 x_{2} & -0.07 x_{19} & +  0.96 x_{32} & -4.71 x_{9} & -0.05 x_{25} & +  0.68 x_{22} & +  0.86 x_{17} & -1.53 x_{28} & -0.55 x_{29} & +  0.67 x_{21} & -3.74 x_{11} & +  0.10 x_{26} & +  3.41 x_{8} & +  0.44 x_{20} & -7.71 x_{15}\\
 x_{3}   &  5.34078005861 & +  0.08 x_{2} & +  0.01 x_{19} & +  0.03 x_{32} & -1.06 x_{9} & -0.03 x_{25} & +  0.04 x_{22} & +  0.04 x_{17} & -0.03 x_{28} & +  0.04 x_{29} & -0.02 x_{21} & -0.90 x_{11} & -0.01 x_{26} & -0.79 x_{8} & -0.00 x_{20} & -0.07 x_{15}\\
 x_{10}   &  1.73805554056 & +  0.64 x_{2} & -0.03 x_{19} & +  0.05 x_{32} & -0.15 x_{9} & +  0.04 x_{25} & +  0.01 x_{22} & +  0.08 x_{17} & -0.06 x_{28} & -0.01 x_{29} & +  0.06 x_{21} & +  0.52 x_{11} & -0.02 x_{26} & -0.24 x_{8} & +  0.00 x_{20} & -0.96 x_{15}\\
 x_{5}   &  0.931145756913 & -0.30 x_{2} & +  0.01 x_{19} & +  0.02 x_{32} & -0.08 x_{9} & +  0.01 x_{25} & -0.02 x_{22} & +  0.06 x_{17} & -0.07 x_{28} & -0.02 x_{29} & +  0.01 x_{21} & +  0.16 x_{11} & +  0.01 x_{26} & -0.35 x_{8} & +  0.00 x_{20} & +  0.27 x_{15}\\
 x_{27}   &  49.8793488933 & -15.13 x_{2} & +  0.31 x_{19} & +  0.14 x_{32} & +  0.05 x_{9} & +  0.01 x_{25} & +  0.55 x_{22} & -0.14 x_{17} & -0.90 x_{28} & +  0.16 x_{29} & +  0.06 x_{21} & -4.11 x_{11} & -0.26 x_{26} & -3.91 x_{8} & +  0.01 x_{20} & -9.53 x_{15}\\
 x_{4}   &  3.68851552812 & -0.16 x_{2} & -0.03 x_{19} & +  0.00 x_{32} & +  0.53 x_{9} & -0.02 x_{25} & -0.00 x_{22} & -0.02 x_{17} & -0.00 x_{28} & -0.05 x_{29} & +  0.00 x_{21} & +  0.05 x_{11} & +  0.01 x_{26} & -0.18 x_{8} & -0.04 x_{20} & -0.21 x_{15}\\
 x_{31}   &  32.5869813905 & -4.03 x_{2} & -0.29 x_{19} & +  0.21 x_{32} & -7.70 x_{9} & +  0.43 x_{25} & +  0.14 x_{22} & +  0.69 x_{17} & +  0.22 x_{28} & +  0.63 x_{29} & +  0.15 x_{21} & +  5.65 x_{11} & -0.15 x_{26} & +  3.44 x_{8} & -0.33 x_{20} & -9.26 x_{15}\\
 x_{13}   &  2.44271453707 & +  0.12 x_{2} & -0.01 x_{19} & -0.05 x_{32} & +  0.15 x_{9} & -0.01 x_{25} & -0.03 x_{22} & -0.02 x_{17} & +  0.06 x_{28} & +  0.00 x_{29} & -0.03 x_{21} & +  0.03 x_{11} & -0.03 x_{26} & -0.30 x_{8} & +  0.01 x_{20} & +  0.31 x_{15}\\
 x_{6}   &  4.17779799764 & +  1.13 x_{2} & -0.04 x_{19} & +  0.04 x_{32} & -0.26 x_{9} & -0.03 x_{25} & -0.00 x_{22} & +  0.01 x_{17} & -0.03 x_{28} & -0.01 x_{29} & +  0.03 x_{21} & -0.26 x_{11} & -0.01 x_{26} & +  0.10 x_{8} & +  0.02 x_{20} & -0.08 x_{15}\\
 x_{14}   &  0.714798480501 & +  0.87 x_{2} & +  0.01 x_{19} & -0.01 x_{32} & -0.06 x_{9} & -0.03 x_{25} & -0.05 x_{22} & -0.04 x_{17} & +  0.13 x_{28} & +  0.03 x_{29} & -0.05 x_{21} & -0.38 x_{11} & +  0.01 x_{26} & -0.05 x_{8} & +  0.03 x_{20} & +  0.98 x_{15}\\
\hline
z    &  54.628071827 & +  5.91 x_{2} & -0.03 x_{19} & -0.05 x_{32} & -1.74 x_{9} & -0.60 x_{25} & -0.20 x_{22} & -0.58 x_{17} & +  1.02 x_{28} & -0.05 x_{29} & -0.35 x_{21} & -12.72 x_{11} & -0.38 x_{26} & -6.39 x_{8} & +  0.23 x_{20} & +  3.95 x_{15}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  28.2805369197 & -10.73 x_{1} & -0.28 x_{19} & +  1.55 x_{32} & -17.55 x_{9} & +  1.24 x_{25} & +  0.59 x_{22} & +  2.32 x_{17} & -3.20 x_{28} & +  0.75 x_{29} & +  0.56 x_{21} & +  6.24 x_{11} & +  0.70 x_{26} & -11.27 x_{8} & -0.39 x_{20} & -19.39 x_{15}\\
 x_{12}   &  2.16627071419 & -0.08 x_{1} & +  0.02 x_{19} & -0.02 x_{32} & +  0.24 x_{9} & -0.04 x_{25} & -0.03 x_{22} & -0.06 x_{17} & +  0.06 x_{28} & +  0.00 x_{29} & -0.02 x_{21} & -0.33 x_{11} & -0.02 x_{26} & -0.32 x_{8} & -0.03 x_{20} & +  0.21 x_{15}\\
 x_{7}   &  1.91476194563 & -0.36 x_{1} & -0.02 x_{19} & +  0.04 x_{32} & -0.61 x_{9} & +  0.04 x_{25} & +  0.01 x_{22} & +  0.10 x_{17} & -0.08 x_{28} & +  0.05 x_{29} & +  0.05 x_{21} & +  0.46 x_{11} & +  0.02 x_{26} & -0.32 x_{8} & -0.03 x_{20} & -1.11 x_{15}\\
 x_{2}   &  0.403386763052 & -1.23 x_{1} & -0.01 x_{19} & +  0.06 x_{32} & -0.27 x_{9} & +  0.08 x_{25} & +  0.02 x_{22} & +  0.12 x_{17} & -0.16 x_{28} & +  0.03 x_{29} & +  0.03 x_{21} & +  0.32 x_{11} & +  0.01 x_{26} & -0.77 x_{8} & -0.05 x_{20} & -1.07 x_{15}\\
 x_{16}   &  3.73964151283 & + 10.10 x_{1} & +  0.18 x_{19} & -1.54 x_{32} & + 27.28 x_{9} & -1.58 x_{25} & -0.65 x_{22} & -2.69 x_{17} & +  2.22 x_{28} & -1.01 x_{29} & -0.32 x_{21} & -4.87 x_{11} & +  0.09 x_{26} & + 25.54 x_{8} & -0.14 x_{20} & +  6.80 x_{15}\\
 x_{18}   &  67.5309712894 & -13.76 x_{1} & -0.23 x_{19} & +  0.28 x_{32} & -8.40 x_{9} & -0.43 x_{25} & -0.47 x_{22} & -0.39 x_{17} & +  0.16 x_{28} & +  0.04 x_{29} & -0.69 x_{21} & -1.49 x_{11} & +  0.35 x_{26} & -4.74 x_{8} & +  0.03 x_{20} & +  1.73 x_{15}\\
 x_{30}   &  21.9944502246 & + 18.15 x_{1} & +  0.42 x_{19} & -0.98 x_{32} & -10.68 x_{9} & -1.60 x_{25} & +  0.03 x_{22} & -1.70 x_{17} & +  2.52 x_{28} & +  0.06 x_{29} & -0.88 x_{21} & -10.14 x_{11} & +  0.12 x_{26} & +  5.44 x_{8} & +  0.73 x_{20} & + 22.59 x_{15}\\
 x_{23}   &  14.5550089016 & -9.18 x_{1} & -0.11 x_{19} & +  1.40 x_{32} & -6.71 x_{9} & +  0.56 x_{25} & +  0.83 x_{22} & +  1.75 x_{17} & -2.73 x_{28} & -0.35 x_{29} & +  0.89 x_{21} & -1.32 x_{11} & +  0.19 x_{26} & -2.36 x_{8} & +  0.06 x_{20} & -15.69 x_{15}\\
 x_{3}   &  5.37461094247 & -0.10 x_{1} & +  0.01 x_{19} & +  0.04 x_{32} & -1.08 x_{9} & -0.02 x_{25} & +  0.04 x_{22} & +  0.05 x_{17} & -0.04 x_{28} & +  0.04 x_{29} & -0.02 x_{21} & -0.87 x_{11} & -0.01 x_{26} & -0.85 x_{8} & -0.01 x_{20} & -0.16 x_{15}\\
 x_{10}   &  1.99806419884 & -0.79 x_{1} & -0.03 x_{19} & +  0.09 x_{32} & -0.33 x_{9} & +  0.10 x_{25} & +  0.02 x_{22} & +  0.16 x_{17} & -0.16 x_{28} & +  0.00 x_{29} & +  0.08 x_{21} & +  0.73 x_{11} & -0.01 x_{26} & -0.74 x_{8} & -0.03 x_{20} & -1.65 x_{15}\\
 x_{5}   &  0.80877022918 & +  0.37 x_{1} & +  0.01 x_{19} & +  0.00 x_{32} & -0.00 x_{9} & -0.01 x_{25} & -0.02 x_{22} & +  0.02 x_{17} & -0.02 x_{28} & -0.03 x_{29} & +  0.00 x_{21} & +  0.06 x_{11} & +  0.01 x_{26} & -0.12 x_{8} & +  0.02 x_{20} & +  0.59 x_{15}\\
 x_{27}   &  43.7772135151 & + 18.62 x_{1} & +  0.40 x_{19} & -0.74 x_{32} & +  4.10 x_{9} & -1.23 x_{25} & +  0.24 x_{22} & -1.95 x_{17} & +  1.53 x_{28} & -0.26 x_{29} & -0.37 x_{21} & -9.01 x_{11} & -0.45 x_{26} & +  7.78 x_{8} & +  0.77 x_{20} & +  6.65 x_{15}\\
 x_{4}   &  3.62276698324 & +  0.20 x_{1} & -0.03 x_{19} & -0.01 x_{32} & +  0.57 x_{9} & -0.04 x_{25} & -0.01 x_{22} & -0.04 x_{17} & +  0.02 x_{28} & -0.05 x_{29} & -0.00 x_{21} & -0.00 x_{11} & +  0.01 x_{26} & -0.05 x_{8} & -0.03 x_{20} & -0.04 x_{15}\\
 x_{31}   &  30.9608325981 & +  4.96 x_{1} & -0.27 x_{19} & -0.02 x_{32} & -6.62 x_{9} & +  0.10 x_{25} & +  0.05 x_{22} & +  0.20 x_{17} & +  0.87 x_{28} & +  0.52 x_{29} & +  0.03 x_{21} & +  4.34 x_{11} & -0.20 x_{26} & +  6.55 x_{8} & -0.13 x_{20} & -4.95 x_{15}\\
 x_{13}   &  2.49053824657 & -0.15 x_{1} & -0.01 x_{19} & -0.04 x_{32} & +  0.12 x_{9} & +  0.00 x_{25} & -0.03 x_{22} & -0.01 x_{17} & +  0.05 x_{28} & +  0.01 x_{29} & -0.03 x_{21} & +  0.07 x_{11} & -0.03 x_{26} & -0.39 x_{8} & +  0.00 x_{20} & +  0.18 x_{15}\\
 x_{6}   &  4.63182778233 & -1.39 x_{1} & -0.04 x_{19} & +  0.10 x_{32} & -0.56 x_{9} & +  0.07 x_{25} & +  0.02 x_{22} & +  0.14 x_{17} & -0.21 x_{28} & +  0.03 x_{29} & +  0.07 x_{21} & +  0.11 x_{11} & +  0.00 x_{26} & -0.77 x_{8} & -0.03 x_{20} & -1.28 x_{15}\\
 x_{14}   &  1.06773282545 & -1.08 x_{1} & +  0.00 x_{19} & +  0.04 x_{32} & -0.29 x_{9} & +  0.05 x_{25} & -0.03 x_{22} & +  0.06 x_{17} & -0.02 x_{28} & +  0.05 x_{29} & -0.03 x_{21} & -0.09 x_{11} & +  0.02 x_{26} & -0.72 x_{8} & -0.01 x_{20} & +  0.04 x_{15}\\
\hline
z    &  57.0102650645 & -7.27 x_{1} & -0.06 x_{19} & +  0.30 x_{32} & -3.32 x_{9} & -0.12 x_{25} & -0.08 x_{22} & +  0.12 x_{17} & +  0.07 x_{28} & +  0.12 x_{29} & -0.18 x_{21} & -10.80 x_{11} & -0.30 x_{26} & -10.95 x_{8} & -0.06 x_{20} & -2.37 x_{15}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  31.5178138689 & -1.99 x_{1} & -0.12 x_{19} & +  0.22 x_{32} & +  6.06 x_{9} & -0.13 x_{25} & +  0.02 x_{22} & -0.87 x_{16} & -1.28 x_{28} & -0.12 x_{29} & +  0.28 x_{21} & +  2.03 x_{11} & +  0.78 x_{26} & + 10.84 x_{8} & -0.52 x_{20} & -13.50 x_{15}\\
 x_{12}   &  2.08215278652 & -0.31 x_{1} & +  0.01 x_{19} & +  0.02 x_{32} & -0.38 x_{9} & -0.01 x_{25} & -0.02 x_{22} & +  0.02 x_{16} & +  0.01 x_{28} & +  0.02 x_{29} & -0.01 x_{21} & -0.22 x_{11} & -0.02 x_{26} & -0.89 x_{8} & -0.02 x_{20} & +  0.05 x_{15}\\
 x_{7}   &  2.0540152503 & +  0.02 x_{1} & -0.01 x_{19} & -0.02 x_{32} & +  0.40 x_{9} & -0.02 x_{25} & -0.01 x_{22} & -0.04 x_{16} & +  0.00 x_{28} & +  0.01 x_{29} & +  0.04 x_{21} & +  0.28 x_{11} & +  0.02 x_{26} & +  0.64 x_{8} & -0.04 x_{20} & -0.85 x_{15}\\
 x_{2}   &  0.569715787398 & -0.78 x_{1} & +  0.00 x_{19} & -0.01 x_{32} & +  0.95 x_{9} & +  0.01 x_{25} & -0.01 x_{22} & -0.04 x_{16} & -0.06 x_{28} & -0.02 x_{29} & +  0.01 x_{21} & +  0.11 x_{11} & +  0.02 x_{26} & +  0.36 x_{8} & -0.06 x_{20} & -0.77 x_{15}\\
 x_{17}   &  1.39237893333 & +  3.76 x_{1} & +  0.07 x_{19} & -0.57 x_{32} & + 10.16 x_{9} & -0.59 x_{25} & -0.24 x_{22} & -0.37 x_{16} & +  0.83 x_{28} & -0.38 x_{29} & -0.12 x_{21} & -1.81 x_{11} & +  0.03 x_{26} & +  9.51 x_{8} & -0.05 x_{20} & +  2.53 x_{15}\\
 x_{18}   &  66.9904594362 & -15.22 x_{1} & -0.25 x_{19} & +  0.50 x_{32} & -12.35 x_{9} & -0.20 x_{25} & -0.38 x_{22} & +  0.14 x_{16} & -0.16 x_{28} & +  0.19 x_{29} & -0.65 x_{21} & -0.79 x_{11} & +  0.34 x_{26} & -8.43 x_{8} & +  0.05 x_{20} & +  0.74 x_{15}\\
 x_{30}   &  19.6320583237 & + 11.77 x_{1} & +  0.30 x_{19} & -0.01 x_{32} & -27.92 x_{9} & -0.60 x_{25} & +  0.44 x_{22} & +  0.63 x_{16} & +  1.12 x_{28} & +  0.69 x_{29} & -0.68 x_{21} & -7.07 x_{11} & +  0.07 x_{26} & -10.70 x_{8} & +  0.82 x_{20} & + 18.29 x_{15}\\
 x_{23}   &  16.9954757057 & -2.59 x_{1} & +  0.01 x_{19} & +  0.39 x_{32} & + 11.09 x_{9} & -0.47 x_{25} & +  0.41 x_{22} & -0.65 x_{16} & -1.28 x_{28} & -1.00 x_{29} & +  0.68 x_{21} & -4.50 x_{11} & +  0.25 x_{26} & + 14.31 x_{8} & -0.03 x_{20} & -11.25 x_{15}\\
 x_{3}   &  5.43922326418 & +  0.07 x_{1} & +  0.01 x_{19} & +  0.01 x_{32} & -0.61 x_{9} & -0.05 x_{25} & +  0.03 x_{22} & -0.02 x_{16} & -0.00 x_{28} & +  0.02 x_{29} & -0.02 x_{21} & -0.95 x_{11} & -0.01 x_{26} & -0.41 x_{8} & -0.01 x_{20} & -0.04 x_{15}\\
 x_{10}   &  2.21702066352 & -0.20 x_{1} & -0.02 x_{19} & -0.00 x_{32} & +  1.27 x_{9} & +  0.00 x_{25} & -0.01 x_{22} & -0.06 x_{16} & -0.03 x_{28} & -0.06 x_{29} & +  0.06 x_{21} & +  0.45 x_{11} & -0.01 x_{26} & +  0.75 x_{8} & -0.04 x_{20} & -1.25 x_{15}\\
 x_{5}   &  0.837560389785 & +  0.45 x_{1} & +  0.01 x_{19} & -0.01 x_{32} & +  0.21 x_{9} & -0.02 x_{25} & -0.03 x_{22} & -0.01 x_{16} & -0.01 x_{28} & -0.04 x_{29} & +  0.00 x_{21} & +  0.02 x_{11} & +  0.01 x_{26} & +  0.08 x_{8} & +  0.02 x_{20} & +  0.64 x_{15}\\
 x_{27}   &  41.0677007471 & + 11.30 x_{1} & +  0.27 x_{19} & +  0.37 x_{32} & -15.66 x_{9} & -0.09 x_{25} & +  0.71 x_{22} & +  0.72 x_{16} & -0.07 x_{28} & +  0.47 x_{29} & -0.14 x_{21} & -5.48 x_{11} & -0.51 x_{26} & -10.72 x_{8} & +  0.87 x_{20} & +  1.72 x_{15}\\
 x_{4}   &  3.56303770557 & +  0.04 x_{1} & -0.03 x_{19} & +  0.02 x_{32} & +  0.13 x_{9} & -0.01 x_{25} & +  0.00 x_{22} & +  0.02 x_{16} & -0.01 x_{28} & -0.04 x_{29} & +  0.01 x_{21} & +  0.08 x_{11} & +  0.01 x_{26} & -0.46 x_{8} & -0.03 x_{20} & -0.14 x_{15}\\
 x_{31}   &  31.2456136566 & +  5.73 x_{1} & -0.25 x_{19} & -0.14 x_{32} & -4.55 x_{9} & -0.02 x_{25} & +  0.00 x_{22} & -0.08 x_{16} & +  1.03 x_{28} & +  0.44 x_{29} & +  0.01 x_{21} & +  3.97 x_{11} & -0.19 x_{26} & +  8.50 x_{8} & -0.14 x_{20} & -4.43 x_{15}\\
 x_{13}   &  2.48233438193 & -0.17 x_{1} & -0.01 x_{19} & -0.04 x_{32} & +  0.06 x_{9} & +  0.00 x_{25} & -0.03 x_{22} & +  0.00 x_{16} & +  0.04 x_{28} & +  0.01 x_{29} & -0.03 x_{21} & +  0.08 x_{11} & -0.03 x_{26} & -0.44 x_{8} & +  0.01 x_{20} & +  0.17 x_{15}\\
 x_{6}   &  4.82933559808 & -0.85 x_{1} & -0.03 x_{19} & +  0.02 x_{32} & +  0.88 x_{9} & -0.02 x_{25} & -0.01 x_{22} & -0.05 x_{16} & -0.10 x_{28} & -0.03 x_{29} & +  0.05 x_{21} & -0.15 x_{11} & +  0.01 x_{26} & +  0.58 x_{8} & -0.04 x_{20} & -0.92 x_{15}\\
 x_{14}   &  1.15135309789 & -0.85 x_{1} & +  0.01 x_{19} & +  0.01 x_{32} & +  0.32 x_{9} & +  0.01 x_{25} & -0.05 x_{22} & -0.02 x_{16} & +  0.03 x_{28} & +  0.03 x_{29} & -0.04 x_{21} & -0.20 x_{11} & +  0.02 x_{26} & -0.15 x_{8} & -0.01 x_{20} & +  0.19 x_{15}\\
\hline
z    &  57.1830969216 & -6.80 x_{1} & -0.06 x_{19} & +  0.23 x_{32} & -2.06 x_{9} & -0.19 x_{25} & -0.11 x_{22} & -0.05 x_{16} & +  0.17 x_{28} & +  0.07 x_{29} & -0.20 x_{21} & -11.03 x_{11} & -0.30 x_{26} & -9.77 x_{8} & -0.07 x_{20} & -2.05 x_{15}\\
\end{array}\]


 $ x_{28} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  19.7759716242 & + 14.12 x_{1} & -0.16 x_{19} & +  0.43 x_{32} & -13.42 x_{9} & -0.37 x_{25} & +  0.19 x_{22} & +  0.05 x_{16} & + 20.61 x_{2} & +  0.24 x_{29} & -0.02 x_{21} & -0.19 x_{11} & +  0.45 x_{26} & +  3.36 x_{8} & +  0.64 x_{20} & +  2.31 x_{15}\\
 x_{12}   &  2.19098802484 & -0.46 x_{1} & +  0.01 x_{19} & +  0.02 x_{32} & -0.20 x_{9} & -0.00 x_{25} & -0.02 x_{22} & +  0.01 x_{16} & -0.19 x_{2} & +  0.02 x_{29} & -0.01 x_{21} & -0.20 x_{11} & -0.01 x_{26} & -0.82 x_{8} & -0.04 x_{20} & -0.09 x_{15}\\
 x_{7}   &  2.08271930457 & -0.02 x_{1} & -0.01 x_{19} & -0.02 x_{32} & +  0.45 x_{9} & -0.02 x_{25} & -0.01 x_{22} & -0.04 x_{16} & -0.05 x_{2} & +  0.01 x_{29} & +  0.04 x_{21} & +  0.29 x_{11} & +  0.02 x_{26} & +  0.65 x_{8} & -0.04 x_{20} & -0.89 x_{15}\\
 x_{28}   &  9.1615258204 & -12.57 x_{1} & +  0.03 x_{19} & -0.16 x_{32} & + 15.21 x_{9} & +  0.19 x_{25} & -0.13 x_{22} & -0.72 x_{16} & -16.08 x_{2} & -0.28 x_{29} & +  0.23 x_{21} & +  1.73 x_{11} & +  0.26 x_{26} & +  5.84 x_{8} & -0.90 x_{20} & -12.33 x_{15}\\
 x_{17}   &  8.9552087031 & -6.62 x_{1} & +  0.09 x_{19} & -0.71 x_{32} & + 22.71 x_{9} & -0.43 x_{25} & -0.35 x_{22} & -0.96 x_{16} & -13.27 x_{2} & -0.61 x_{29} & +  0.07 x_{21} & -0.39 x_{11} & +  0.25 x_{26} & + 14.33 x_{8} & -0.80 x_{20} & -7.65 x_{15}\\
 x_{18}   &  65.4953299534 & -13.17 x_{1} & -0.26 x_{19} & +  0.53 x_{32} & -14.83 x_{9} & -0.23 x_{25} & -0.35 x_{22} & +  0.26 x_{16} & +  2.62 x_{2} & +  0.24 x_{29} & -0.68 x_{21} & -1.07 x_{11} & +  0.30 x_{26} & -9.38 x_{8} & +  0.20 x_{20} & +  2.76 x_{15}\\
 x_{30}   &  29.8759328798 & -2.29 x_{1} & +  0.34 x_{19} & -0.19 x_{32} & -10.92 x_{9} & -0.39 x_{25} & +  0.29 x_{22} & -0.17 x_{16} & -17.98 x_{2} & +  0.38 x_{29} & -0.42 x_{21} & -5.14 x_{11} & +  0.36 x_{26} & -4.17 x_{8} & -0.19 x_{20} & +  4.50 x_{15}\\
 x_{23}   &  5.28011931073 & + 13.48 x_{1} & -0.03 x_{19} & +  0.60 x_{32} & -8.35 x_{9} & -0.71 x_{25} & +  0.58 x_{22} & +  0.26 x_{16} & + 20.56 x_{2} & -0.65 x_{29} & +  0.38 x_{21} & -6.70 x_{11} & -0.08 x_{26} & +  6.84 x_{8} & +  1.13 x_{20} & +  4.52 x_{15}\\
 x_{3}   &  5.43605249472 & +  0.08 x_{1} & +  0.01 x_{19} & +  0.01 x_{32} & -0.62 x_{9} & -0.05 x_{25} & +  0.03 x_{22} & -0.02 x_{16} & +  0.01 x_{2} & +  0.02 x_{29} & -0.02 x_{21} & -0.95 x_{11} & -0.01 x_{26} & -0.41 x_{8} & -0.01 x_{20} & -0.03 x_{15}\\
 x_{10}   &  1.90686633048 & +  0.22 x_{1} & -0.02 x_{19} & +  0.00 x_{32} & +  0.76 x_{9} & -0.00 x_{25} & -0.01 x_{22} & -0.03 x_{16} & +  0.54 x_{2} & -0.05 x_{29} & +  0.06 x_{21} & +  0.39 x_{11} & -0.02 x_{26} & +  0.56 x_{8} & -0.01 x_{20} & -0.84 x_{15}\\
 x_{5}   &  0.782166906218 & +  0.53 x_{1} & +  0.01 x_{19} & -0.01 x_{32} & +  0.12 x_{9} & -0.02 x_{25} & -0.03 x_{22} & -0.00 x_{16} & +  0.10 x_{2} & -0.03 x_{29} & -0.00 x_{21} & +  0.01 x_{11} & +  0.01 x_{26} & +  0.04 x_{8} & +  0.02 x_{20} & +  0.72 x_{15}\\
 x_{27}   &  40.4057010113 & + 12.21 x_{1} & +  0.27 x_{19} & +  0.38 x_{32} & -16.76 x_{9} & -0.10 x_{25} & +  0.72 x_{22} & +  0.78 x_{16} & +  1.16 x_{2} & +  0.49 x_{29} & -0.16 x_{21} & -5.61 x_{11} & -0.53 x_{26} & -11.14 x_{8} & +  0.94 x_{20} & +  2.61 x_{15}\\
 x_{4}   &  3.4595491901 & +  0.18 x_{1} & -0.03 x_{19} & +  0.02 x_{32} & -0.04 x_{9} & -0.01 x_{25} & +  0.00 x_{22} & +  0.02 x_{16} & +  0.18 x_{2} & -0.03 x_{29} & +  0.00 x_{21} & +  0.06 x_{11} & +  0.00 x_{26} & -0.53 x_{8} & -0.02 x_{20} & -0.01 x_{15}\\
 x_{31}   &  40.7203953618 & -7.27 x_{1} & -0.22 x_{19} & -0.31 x_{32} & + 11.18 x_{9} & +  0.18 x_{25} & -0.13 x_{22} & -0.82 x_{16} & -16.63 x_{2} & +  0.15 x_{29} & +  0.24 x_{21} & +  5.76 x_{11} & +  0.08 x_{26} & + 14.54 x_{8} & -1.08 x_{20} & -17.18 x_{15}\\
 x_{13}   &  2.85388084826 & -0.68 x_{1} & -0.01 x_{19} & -0.04 x_{32} & +  0.68 x_{9} & +  0.01 x_{25} & -0.03 x_{22} & -0.03 x_{16} & -0.65 x_{2} & -0.00 x_{29} & -0.02 x_{21} & +  0.15 x_{11} & -0.02 x_{26} & -0.21 x_{8} & -0.03 x_{20} & -0.33 x_{15}\\
 x_{6}   &  3.942659826 & +  0.36 x_{1} & -0.04 x_{19} & +  0.04 x_{32} & -0.60 x_{9} & -0.03 x_{25} & +  0.00 x_{22} & +  0.02 x_{16} & +  1.56 x_{2} & -0.00 x_{29} & +  0.03 x_{21} & -0.32 x_{11} & -0.02 x_{26} & +  0.01 x_{8} & +  0.05 x_{20} & +  0.27 x_{15}\\
 x_{14}   &  1.46688111238 & -1.28 x_{1} & +  0.01 x_{19} & +  0.00 x_{32} & +  0.84 x_{9} & +  0.02 x_{25} & -0.05 x_{22} & -0.05 x_{16} & -0.55 x_{2} & +  0.02 x_{29} & -0.03 x_{21} & -0.14 x_{11} & +  0.03 x_{26} & +  0.05 x_{8} & -0.05 x_{20} & -0.23 x_{15}\\
\hline
z    &  58.7657904944 & -8.97 x_{1} & -0.05 x_{19} & +  0.20 x_{32} & +  0.57 x_{9} & -0.16 x_{25} & -0.13 x_{22} & -0.17 x_{16} & -2.78 x_{2} & +  0.02 x_{29} & -0.16 x_{21} & -10.73 x_{11} & -0.26 x_{26} & -8.77 x_{8} & -0.23 x_{20} & -4.19 x_{15}\\
\end{array}\]


 $ x_{9} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  11.2877413701 & -7.55 x_{1} & -0.11 x_{19} & -0.54 x_{32} & +  1.61 x_{23} & +  0.78 x_{25} & -0.74 x_{22} & -0.37 x_{16} & -12.45 x_{2} & +  1.28 x_{29} & -0.63 x_{21} & + 10.59 x_{11} & +  0.58 x_{26} & -7.64 x_{8} & -1.17 x_{20} & -4.96 x_{15}\\
 x_{12}   &  2.06735373211 & -0.77 x_{1} & +  0.01 x_{19} & +  0.00 x_{32} & +  0.02 x_{23} & +  0.01 x_{25} & -0.03 x_{22} & +  0.01 x_{16} & -0.67 x_{2} & +  0.04 x_{29} & -0.02 x_{21} & -0.04 x_{11} & -0.01 x_{26} & -0.98 x_{8} & -0.06 x_{20} & -0.20 x_{15}\\
 x_{7}   &  2.36847354873 & +  0.71 x_{1} & -0.01 x_{19} & +  0.01 x_{32} & -0.05 x_{23} & -0.06 x_{25} & +  0.02 x_{22} & -0.03 x_{16} & +  1.06 x_{2} & -0.03 x_{29} & +  0.06 x_{21} & -0.08 x_{11} & +  0.02 x_{26} & +  1.02 x_{8} & +  0.02 x_{20} & -0.65 x_{15}\\
 x_{28}   &  18.776308853 & + 11.98 x_{1} & -0.03 x_{19} & +  0.93 x_{32} & -1.82 x_{23} & -1.11 x_{25} & +  0.92 x_{22} & -0.24 x_{16} & + 21.36 x_{2} & -1.46 x_{29} & +  0.93 x_{21} & -10.48 x_{11} & +  0.11 x_{26} & + 18.30 x_{8} & +  1.15 x_{20} & -4.10 x_{15}\\
 x_{17}   &  23.3150534178 & + 30.05 x_{1} & +  0.00 x_{19} & +  0.93 x_{32} & -2.72 x_{23} & -2.37 x_{25} & +  1.22 x_{22} & -0.25 x_{16} & + 42.65 x_{2} & -2.37 x_{29} & +  1.11 x_{21} & -18.62 x_{11} & +  0.02 x_{26} & + 32.93 x_{8} & +  2.27 x_{20} & +  4.65 x_{15}\\
 x_{18}   &  56.119421768 & -37.11 x_{1} & -0.20 x_{19} & -0.54 x_{32} & +  1.78 x_{23} & +  1.04 x_{25} & -1.38 x_{22} & -0.20 x_{16} & -33.89 x_{2} & +  1.38 x_{29} & -1.36 x_{21} & + 10.83 x_{11} & +  0.44 x_{26} & -21.53 x_{8} & -1.80 x_{20} & -5.27 x_{15}\\
 x_{30}   &  22.9737820578 & -19.91 x_{1} & +  0.38 x_{19} & -0.98 x_{32} & +  1.31 x_{23} & +  0.54 x_{25} & -0.47 x_{22} & -0.51 x_{16} & -44.86 x_{2} & +  1.23 x_{29} & -0.92 x_{21} & +  3.62 x_{11} & +  0.46 x_{26} & -13.11 x_{8} & -1.66 x_{20} & -1.41 x_{15}\\
 x_{9}   &  0.63232678417 & +  1.61 x_{1} & -0.00 x_{19} & +  0.07 x_{32} & -0.12 x_{23} & -0.09 x_{25} & +  0.07 x_{22} & +  0.03 x_{16} & +  2.46 x_{2} & -0.08 x_{29} & +  0.05 x_{21} & -0.80 x_{11} & -0.01 x_{26} & +  0.82 x_{8} & +  0.13 x_{20} & +  0.54 x_{15}\\
 x_{3}   &  5.04674728145 & -0.92 x_{1} & +  0.02 x_{19} & -0.03 x_{32} & +  0.07 x_{23} & +  0.00 x_{25} & -0.01 x_{22} & -0.04 x_{16} & -1.51 x_{2} & +  0.07 x_{29} & -0.05 x_{21} & -0.46 x_{11} & -0.00 x_{26} & -0.92 x_{8} & -0.09 x_{20} & -0.37 x_{15}\\
 x_{10}   &  2.38482723109 & +  1.44 x_{1} & -0.02 x_{19} & +  0.06 x_{32} & -0.09 x_{23} & -0.07 x_{25} & +  0.04 x_{22} & -0.01 x_{16} & +  2.41 x_{2} & -0.10 x_{29} & +  0.09 x_{21} & -0.22 x_{11} & -0.02 x_{26} & +  1.17 x_{8} & +  0.10 x_{20} & -0.43 x_{15}\\
 x_{5}   &  0.856504198144 & +  0.72 x_{1} & +  0.01 x_{19} & +  0.00 x_{32} & -0.01 x_{23} & -0.03 x_{25} & -0.02 x_{22} & +  0.00 x_{16} & +  0.39 x_{2} & -0.04 x_{29} & +  0.01 x_{21} & -0.08 x_{11} & +  0.01 x_{26} & +  0.14 x_{8} & +  0.04 x_{20} & +  0.78 x_{15}\\
 x_{27}   &  29.8074041265 & -14.85 x_{1} & +  0.34 x_{19} & -0.82 x_{32} & +  2.01 x_{23} & +  1.33 x_{25} & -0.45 x_{22} & +  0.25 x_{16} & -40.11 x_{2} & +  1.79 x_{29} & -0.93 x_{21} & +  7.85 x_{11} & -0.36 x_{26} & -24.87 x_{8} & -1.32 x_{20} & -6.47 x_{15}\\
 x_{4}   &  3.43538384846 & +  0.12 x_{1} & -0.03 x_{19} & +  0.02 x_{32} & +  0.00 x_{23} & -0.01 x_{25} & +  0.00 x_{22} & +  0.02 x_{16} & +  0.09 x_{2} & -0.03 x_{29} & +  0.00 x_{21} & +  0.09 x_{11} & +  0.00 x_{26} & -0.56 x_{8} & -0.02 x_{20} & -0.03 x_{15}\\
 x_{31}   &  47.788695799 & + 10.78 x_{1} & -0.26 x_{19} & +  0.50 x_{32} & -1.34 x_{23} & -0.78 x_{25} & +  0.64 x_{22} & -0.47 x_{16} & + 10.90 x_{2} & -0.72 x_{29} & +  0.76 x_{21} & -3.21 x_{11} & -0.03 x_{26} & + 23.70 x_{8} & +  0.43 x_{20} & -11.13 x_{15}\\
 x_{13}   &  3.28346218583 & +  0.42 x_{1} & -0.01 x_{19} & +  0.01 x_{32} & -0.08 x_{23} & -0.05 x_{25} & +  0.02 x_{22} & -0.01 x_{16} & +  1.02 x_{2} & -0.05 x_{29} & +  0.01 x_{21} & -0.40 x_{11} & -0.03 x_{26} & +  0.35 x_{8} & +  0.06 x_{20} & +  0.04 x_{15}\\
 x_{6}   &  3.56595212377 & -0.60 x_{1} & -0.03 x_{19} & -0.00 x_{32} & +  0.07 x_{23} & +  0.02 x_{25} & -0.04 x_{22} & -0.00 x_{16} & +  0.09 x_{2} & +  0.05 x_{29} & -0.00 x_{21} & +  0.16 x_{11} & -0.01 x_{26} & -0.47 x_{8} & -0.03 x_{20} & -0.05 x_{15}\\
 x_{14}   &  1.99813978336 & +  0.07 x_{1} & +  0.00 x_{19} & +  0.06 x_{32} & -0.10 x_{23} & -0.05 x_{25} & +  0.00 x_{22} & -0.02 x_{16} & +  1.52 x_{2} & -0.05 x_{29} & +  0.01 x_{21} & -0.82 x_{11} & +  0.02 x_{26} & +  0.74 x_{8} & +  0.07 x_{20} & +  0.22 x_{15}\\
\hline
z    &  59.1241558706 & -8.06 x_{1} & -0.05 x_{19} & +  0.24 x_{32} & -0.07 x_{23} & -0.21 x_{25} & -0.09 x_{22} & -0.15 x_{16} & -1.38 x_{2} & -0.02 x_{29} & -0.13 x_{21} & -11.19 x_{11} & -0.26 x_{26} & -8.30 x_{8} & -0.15 x_{20} & -3.88 x_{15}\\
\end{array}\]


 $ x_{32} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{32}   &  20.8888510292 & -13.97 x_{1} & -0.20 x_{19} & -1.85 x_{24} & +  2.97 x_{23} & +  1.44 x_{25} & -1.36 x_{22} & -0.69 x_{16} & -23.04 x_{2} & +  2.36 x_{29} & -1.17 x_{21} & + 19.60 x_{11} & +  1.07 x_{26} & -14.14 x_{8} & -2.17 x_{20} & -9.18 x_{15}\\
 x_{12}   &  2.11720749991 & -0.81 x_{1} & +  0.01 x_{19} & -0.00 x_{24} & +  0.03 x_{23} & +  0.02 x_{25} & -0.03 x_{22} & +  0.01 x_{16} & -0.73 x_{2} & +  0.04 x_{29} & -0.02 x_{21} & +  0.00 x_{11} & -0.01 x_{26} & -1.02 x_{8} & -0.07 x_{20} & -0.22 x_{15}\\
 x_{7}   &  2.6090924653 & +  0.55 x_{1} & -0.02 x_{19} & -0.02 x_{24} & -0.02 x_{23} & -0.04 x_{25} & +  0.00 x_{22} & -0.03 x_{16} & +  0.80 x_{2} & +  0.00 x_{29} & +  0.05 x_{21} & +  0.15 x_{11} & +  0.03 x_{26} & +  0.86 x_{8} & -0.00 x_{20} & -0.75 x_{15}\\
 x_{28}   &  38.2139347916 & -1.02 x_{1} & -0.22 x_{19} & -1.72 x_{24} & +  0.95 x_{23} & +  0.23 x_{25} & -0.35 x_{22} & -0.88 x_{16} & -0.07 x_{2} & +  0.74 x_{29} & -0.16 x_{21} & +  7.76 x_{11} & +  1.10 x_{26} & +  5.14 x_{8} & -0.87 x_{20} & -12.64 x_{15}\\
 x_{17}   &  42.6688453515 & + 17.10 x_{1} & -0.19 x_{19} & -1.71 x_{24} & +  0.04 x_{23} & -1.04 x_{25} & -0.04 x_{22} & -0.88 x_{16} & + 21.31 x_{2} & -0.18 x_{29} & +  0.03 x_{21} & -0.46 x_{11} & +  1.01 x_{26} & + 19.83 x_{8} & +  0.26 x_{20} & -3.86 x_{15}\\
 x_{18}   &  44.9125854595 & -29.62 x_{1} & -0.09 x_{19} & +  0.99 x_{24} & +  0.18 x_{23} & +  0.26 x_{25} & -0.65 x_{22} & +  0.16 x_{16} & -21.53 x_{2} & +  0.12 x_{29} & -0.74 x_{21} & +  0.32 x_{11} & -0.13 x_{26} & -13.94 x_{8} & -0.64 x_{20} & -0.35 x_{15}\\
 x_{30}   &  2.57478644958 & -6.27 x_{1} & +  0.58 x_{19} & +  1.81 x_{24} & -1.60 x_{23} & -0.86 x_{25} & +  0.87 x_{22} & +  0.16 x_{16} & -22.37 x_{2} & -1.08 x_{29} & +  0.22 x_{21} & -15.51 x_{11} & -0.58 x_{26} & +  0.70 x_{8} & +  0.46 x_{20} & +  7.56 x_{15}\\
 x_{9}   &  2.13631579033 & +  0.61 x_{1} & -0.02 x_{19} & -0.13 x_{24} & +  0.09 x_{23} & +  0.02 x_{25} & -0.03 x_{22} & -0.02 x_{16} & +  0.80 x_{2} & +  0.09 x_{29} & -0.04 x_{21} & +  0.61 x_{11} & +  0.07 x_{26} & -0.20 x_{8} & -0.02 x_{20} & -0.12 x_{15}\\
 x_{3}   &  4.3365641195 & -0.44 x_{1} & +  0.02 x_{19} & +  0.06 x_{24} & -0.03 x_{23} & -0.04 x_{25} & +  0.03 x_{22} & -0.01 x_{16} & -0.73 x_{2} & -0.01 x_{29} & -0.01 x_{21} & -1.13 x_{11} & -0.04 x_{26} & -0.43 x_{8} & -0.02 x_{20} & -0.06 x_{15}\\
 x_{10}   &  3.58784057995 & +  0.64 x_{1} & -0.03 x_{19} & -0.11 x_{24} & +  0.08 x_{23} & +  0.02 x_{25} & -0.04 x_{22} & -0.05 x_{16} & +  1.08 x_{2} & +  0.03 x_{29} & +  0.02 x_{21} & +  0.91 x_{11} & +  0.04 x_{26} & +  0.36 x_{8} & -0.03 x_{20} & -0.96 x_{15}\\
 x_{5}   &  0.901161132343 & +  0.69 x_{1} & +  0.01 x_{19} & -0.00 x_{24} & -0.01 x_{23} & -0.03 x_{25} & -0.02 x_{22} & -0.00 x_{16} & +  0.34 x_{2} & -0.04 x_{29} & +  0.00 x_{21} & -0.04 x_{11} & +  0.01 x_{26} & +  0.11 x_{8} & +  0.03 x_{20} & +  0.76 x_{15}\\
 x_{27}   &  12.6361215867 & -3.37 x_{1} & +  0.50 x_{19} & +  1.52 x_{24} & -0.44 x_{23} & +  0.15 x_{25} & +  0.68 x_{22} & +  0.81 x_{16} & -21.18 x_{2} & -0.15 x_{29} & +  0.04 x_{21} & -8.26 x_{11} & -1.24 x_{26} & -13.25 x_{8} & +  0.46 x_{20} & +  1.08 x_{15}\\
 x_{4}   &  3.7928662788 & -0.12 x_{1} & -0.04 x_{19} & -0.03 x_{24} & +  0.06 x_{23} & +  0.02 x_{25} & -0.02 x_{22} & +  0.01 x_{16} & -0.31 x_{2} & +  0.01 x_{29} & -0.02 x_{21} & +  0.42 x_{11} & +  0.02 x_{26} & -0.80 x_{8} & -0.06 x_{20} & -0.18 x_{15}\\
 x_{31}   &  58.1324517285 & +  3.86 x_{1} & -0.37 x_{19} & -0.92 x_{24} & +  0.13 x_{23} & -0.06 x_{25} & -0.03 x_{22} & -0.80 x_{16} & -0.51 x_{2} & +  0.45 x_{29} & +  0.18 x_{21} & +  6.49 x_{11} & +  0.50 x_{26} & + 16.69 x_{8} & -0.64 x_{20} & -15.68 x_{15}\\
 x_{13}   &  3.42244888269 & +  0.33 x_{1} & -0.02 x_{19} & -0.01 x_{24} & -0.06 x_{23} & -0.04 x_{25} & +  0.01 x_{22} & -0.01 x_{16} & +  0.87 x_{2} & -0.04 x_{29} & +  0.00 x_{21} & -0.27 x_{11} & -0.02 x_{26} & +  0.26 x_{8} & +  0.05 x_{20} & -0.02 x_{15}\\
 x_{6}   &  3.46383008031 & -0.53 x_{1} & -0.03 x_{19} & +  0.01 x_{24} & +  0.06 x_{23} & +  0.01 x_{25} & -0.03 x_{22} & +  0.00 x_{16} & +  0.20 x_{2} & +  0.03 x_{29} & +  0.01 x_{21} & +  0.06 x_{11} & -0.02 x_{26} & -0.41 x_{8} & -0.02 x_{20} & -0.01 x_{15}\\
 x_{14}   &  3.32373565945 & -0.81 x_{1} & -0.01 x_{19} & -0.12 x_{24} & +  0.09 x_{23} & +  0.04 x_{25} & -0.08 x_{22} & -0.06 x_{16} & +  0.05 x_{2} & +  0.10 x_{29} & -0.06 x_{21} & +  0.43 x_{11} & +  0.09 x_{26} & -0.16 x_{8} & -0.07 x_{20} & -0.36 x_{15}\\
\hline
z    &  64.1245619892 & -11.40 x_{1} & -0.10 x_{19} & -0.44 x_{24} & +  0.64 x_{23} & +  0.14 x_{25} & -0.42 x_{22} & -0.32 x_{16} & -6.90 x_{2} & +  0.54 x_{29} & -0.41 x_{21} & -6.49 x_{11} & -0.01 x_{26} & -11.69 x_{8} & -0.67 x_{20} & -6.08 x_{15}\\
\end{array}\]


 $ x_{23} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{32}   &  25.6822754014 & -25.64 x_{1} & +  0.88 x_{19} & +  1.51 x_{24} & -1.86 x_{30} & -0.17 x_{25} & +  0.25 x_{22} & -0.39 x_{16} & -64.67 x_{2} & +  0.35 x_{29} & -0.76 x_{21} & -9.28 x_{11} & -0.01 x_{26} & -12.84 x_{8} & -1.32 x_{20} & +  4.89 x_{15}\\
 x_{12}   &  2.16637527299 & -0.93 x_{1} & +  0.02 x_{19} & +  0.03 x_{24} & -0.02 x_{30} & +  0.00 x_{25} & -0.02 x_{22} & +  0.01 x_{16} & -1.15 x_{2} & +  0.02 x_{29} & -0.02 x_{21} & -0.29 x_{11} & -0.02 x_{26} & -1.00 x_{8} & -0.06 x_{20} & -0.08 x_{15}\\
 x_{7}   &  2.57710849213 & +  0.63 x_{1} & -0.02 x_{19} & -0.04 x_{24} & +  0.01 x_{30} & -0.03 x_{25} & -0.01 x_{22} & -0.04 x_{16} & +  1.07 x_{2} & +  0.01 x_{29} & +  0.04 x_{21} & +  0.34 x_{11} & +  0.04 x_{26} & +  0.85 x_{8} & -0.01 x_{20} & -0.85 x_{15}\\
 x_{28}   &  39.7403383113 & -4.74 x_{1} & +  0.13 x_{19} & -0.65 x_{24} & -0.59 x_{30} & -0.28 x_{25} & +  0.16 x_{22} & -0.78 x_{16} & -13.33 x_{2} & +  0.10 x_{29} & -0.03 x_{21} & -1.44 x_{11} & +  0.76 x_{26} & +  5.55 x_{8} & -0.60 x_{20} & -8.16 x_{15}\\
 x_{17}   &  42.7280294942 & + 16.96 x_{1} & -0.17 x_{19} & -1.67 x_{24} & -0.02 x_{30} & -1.06 x_{25} & -0.02 x_{22} & -0.88 x_{16} & + 20.79 x_{2} & -0.20 x_{29} & +  0.03 x_{21} & -0.82 x_{11} & +  1.00 x_{26} & + 19.85 x_{8} & +  0.27 x_{20} & -3.68 x_{15}\\
 x_{18}   &  45.2020307929 & -30.32 x_{1} & -0.02 x_{19} & +  1.20 x_{24} & -0.11 x_{30} & +  0.17 x_{25} & -0.55 x_{22} & +  0.18 x_{16} & -24.05 x_{2} & -0.00 x_{29} & -0.71 x_{21} & -1.43 x_{11} & -0.20 x_{26} & -13.86 x_{8} & -0.59 x_{20} & +  0.50 x_{15}\\
 x_{23}   &  1.61125753501 & -3.92 x_{1} & +  0.36 x_{19} & +  1.13 x_{24} & -0.63 x_{30} & -0.54 x_{25} & +  0.54 x_{22} & +  0.10 x_{16} & -14.00 x_{2} & -0.68 x_{29} & +  0.14 x_{21} & -9.71 x_{11} & -0.36 x_{26} & +  0.44 x_{8} & +  0.29 x_{20} & +  4.73 x_{15}\\
 x_{9}   &  2.28848244149 & +  0.24 x_{1} & +  0.02 x_{19} & -0.03 x_{24} & -0.06 x_{30} & -0.03 x_{25} & +  0.02 x_{22} & -0.01 x_{16} & -0.52 x_{2} & +  0.03 x_{29} & -0.03 x_{21} & -0.31 x_{11} & +  0.03 x_{26} & -0.16 x_{8} & +  0.01 x_{20} & +  0.33 x_{15}\\
 x_{3}   &  4.29239499214 & -0.34 x_{1} & +  0.01 x_{19} & +  0.03 x_{24} & +  0.02 x_{30} & -0.03 x_{25} & +  0.02 x_{22} & -0.02 x_{16} & -0.34 x_{2} & +  0.01 x_{29} & -0.01 x_{21} & -0.86 x_{11} & -0.03 x_{26} & -0.45 x_{8} & -0.03 x_{20} & -0.18 x_{15}\\
 x_{10}   &  3.71804708738 & +  0.32 x_{1} & -0.00 x_{19} & -0.02 x_{24} & -0.05 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.04 x_{16} & -0.05 x_{2} & -0.02 x_{29} & +  0.03 x_{21} & +  0.13 x_{11} & +  0.01 x_{26} & +  0.40 x_{8} & -0.01 x_{20} & -0.57 x_{15}\\
 x_{5}   &  0.888724252013 & +  0.72 x_{1} & +  0.01 x_{19} & -0.01 x_{24} & +  0.00 x_{30} & -0.03 x_{25} & -0.03 x_{22} & -0.00 x_{16} & +  0.45 x_{2} & -0.03 x_{29} & +  0.00 x_{21} & +  0.04 x_{11} & +  0.01 x_{26} & +  0.11 x_{8} & +  0.03 x_{20} & +  0.73 x_{15}\\
 x_{27}   &  11.9299070443 & -1.65 x_{1} & +  0.35 x_{19} & +  1.03 x_{24} & +  0.27 x_{30} & +  0.38 x_{25} & +  0.44 x_{22} & +  0.77 x_{16} & -15.04 x_{2} & +  0.15 x_{29} & -0.02 x_{21} & -4.01 x_{11} & -1.08 x_{26} & -13.44 x_{8} & +  0.33 x_{20} & -0.99 x_{15}\\
 x_{4}   &  3.88227298153 & -0.34 x_{1} & -0.02 x_{19} & +  0.03 x_{24} & -0.03 x_{30} & -0.01 x_{25} & +  0.01 x_{22} & +  0.02 x_{16} & -1.08 x_{2} & -0.03 x_{29} & -0.01 x_{21} & -0.12 x_{11} & +  0.00 x_{26} & -0.78 x_{8} & -0.04 x_{20} & +  0.08 x_{15}\\
 x_{31}   &  58.3491321069 & +  3.33 x_{1} & -0.32 x_{19} & -0.76 x_{24} & -0.08 x_{30} & -0.14 x_{25} & +  0.04 x_{22} & -0.79 x_{16} & -2.39 x_{2} & +  0.36 x_{29} & +  0.20 x_{21} & +  5.18 x_{11} & +  0.45 x_{26} & + 16.75 x_{8} & -0.60 x_{20} & -15.04 x_{15}\\
 x_{13}   &  3.3232534425 & +  0.57 x_{1} & -0.04 x_{19} & -0.08 x_{24} & +  0.04 x_{30} & -0.00 x_{25} & -0.03 x_{22} & -0.02 x_{16} & +  1.73 x_{2} & +  0.00 x_{29} & -0.00 x_{21} & +  0.33 x_{11} & +  0.00 x_{26} & +  0.23 x_{8} & +  0.03 x_{20} & -0.32 x_{15}\\
 x_{6}   &  3.55535027642 & -0.75 x_{1} & -0.01 x_{19} & +  0.07 x_{24} & -0.04 x_{30} & -0.02 x_{25} & -0.00 x_{22} & +  0.01 x_{16} & -0.59 x_{2} & -0.00 x_{29} & +  0.01 x_{21} & -0.49 x_{11} & -0.04 x_{26} & -0.38 x_{8} & -0.00 x_{20} & +  0.26 x_{15}\\
 x_{14}   &  3.46580742125 & -1.16 x_{1} & +  0.02 x_{19} & -0.02 x_{24} & -0.06 x_{30} & -0.01 x_{25} & -0.03 x_{22} & -0.06 x_{16} & -1.18 x_{2} & +  0.04 x_{29} & -0.05 x_{21} & -0.43 x_{11} & +  0.06 x_{26} & -0.12 x_{8} & -0.04 x_{20} & +  0.06 x_{15}\\
\hline
z    &  65.1626623073 & -13.93 x_{1} & +  0.13 x_{19} & +  0.29 x_{24} & -0.40 x_{30} & -0.21 x_{25} & -0.07 x_{22} & -0.25 x_{16} & -15.91 x_{2} & +  0.11 x_{29} & -0.32 x_{21} & -12.75 x_{11} & -0.24 x_{26} & -11.40 x_{8} & -0.48 x_{20} & -3.03 x_{15}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{32}   &  100.973182764 & -12.78 x_{1} & -22.66 x_{13} & -0.34 x_{24} & -0.99 x_{30} & -0.23 x_{25} & -0.34 x_{22} & -0.76 x_{16} & -25.50 x_{2} & +  0.41 x_{29} & -0.87 x_{21} & -1.76 x_{11} & -0.01 x_{26} & -7.64 x_{8} & -0.68 x_{20} & -2.26 x_{15}\\
 x_{12}   &  4.23388637893 & -0.57 x_{1} & -0.62 x_{13} & -0.02 x_{24} & +  0.00 x_{30} & -0.00 x_{25} & -0.03 x_{22} & -0.00 x_{16} & -0.08 x_{2} & +  0.02 x_{29} & -0.02 x_{21} & -0.09 x_{11} & -0.02 x_{26} & -0.86 x_{8} & -0.04 x_{20} & -0.27 x_{15}\\
 x_{7}   &  0.652656922606 & +  0.30 x_{1} & +  0.58 x_{13} & +  0.00 x_{24} & -0.01 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.03 x_{16} & +  0.07 x_{2} & +  0.01 x_{29} & +  0.05 x_{21} & +  0.15 x_{11} & +  0.04 x_{26} & +  0.72 x_{8} & -0.03 x_{20} & -0.67 x_{15}\\
 x_{28}   &  50.5236739313 & -2.89 x_{1} & -3.24 x_{13} & -0.92 x_{24} & -0.47 x_{30} & -0.29 x_{25} & +  0.08 x_{22} & -0.83 x_{16} & -7.72 x_{2} & +  0.11 x_{29} & -0.05 x_{21} & -0.36 x_{11} & +  0.76 x_{26} & +  6.30 x_{8} & -0.51 x_{20} & -9.18 x_{15}\\
 x_{17}   &  27.967686611 & + 14.44 x_{1} & +  4.44 x_{13} & -1.31 x_{24} & -0.19 x_{30} & -1.05 x_{25} & +  0.09 x_{22} & -0.81 x_{16} & + 13.11 x_{2} & -0.21 x_{29} & +  0.05 x_{21} & -2.29 x_{11} & +  1.00 x_{26} & + 18.83 x_{8} & +  0.14 x_{20} & -2.28 x_{15}\\
 x_{18}   &  43.1529152997 & -30.67 x_{1} & +  0.62 x_{13} & +  1.25 x_{24} & -0.14 x_{30} & +  0.17 x_{25} & -0.54 x_{22} & +  0.19 x_{16} & -25.11 x_{2} & -0.01 x_{29} & -0.71 x_{21} & -1.63 x_{11} & -0.20 x_{26} & -14.00 x_{8} & -0.61 x_{20} & +  0.70 x_{15}\\
 x_{23}   &  32.8222300014 & +  1.41 x_{1} & -9.39 x_{13} & +  0.36 x_{24} & -0.26 x_{30} & -0.57 x_{25} & +  0.30 x_{22} & -0.05 x_{16} & +  2.24 x_{2} & -0.65 x_{29} & +  0.09 x_{21} & -6.59 x_{11} & -0.36 x_{26} & +  2.59 x_{8} & +  0.55 x_{20} & +  1.77 x_{15}\\
 x_{9}   &  3.63333515378 & +  0.47 x_{1} & -0.40 x_{13} & -0.06 x_{24} & -0.04 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.02 x_{16} & +  0.18 x_{2} & +  0.03 x_{29} & -0.03 x_{21} & -0.17 x_{11} & +  0.03 x_{26} & -0.06 x_{8} & +  0.02 x_{20} & +  0.20 x_{15}\\
 x_{3}   &  5.43419597702 & -0.14 x_{1} & -0.34 x_{13} & +  0.00 x_{24} & +  0.03 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.02 x_{16} & +  0.25 x_{2} & +  0.01 x_{29} & -0.02 x_{21} & -0.75 x_{11} & -0.03 x_{26} & -0.37 x_{8} & -0.02 x_{20} & -0.29 x_{15}\\
 x_{10}   &  3.30644371949 & +  0.25 x_{1} & +  0.12 x_{13} & -0.01 x_{24} & -0.06 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.04 x_{16} & -0.27 x_{2} & -0.02 x_{29} & +  0.04 x_{21} & +  0.09 x_{11} & +  0.01 x_{26} & +  0.37 x_{8} & -0.01 x_{20} & -0.54 x_{15}\\
 x_{5}   &  1.7544631106 & +  0.87 x_{1} & -0.26 x_{13} & -0.03 x_{24} & +  0.01 x_{30} & -0.03 x_{25} & -0.03 x_{22} & -0.01 x_{16} & +  0.90 x_{2} & -0.03 x_{29} & +  0.00 x_{21} & +  0.12 x_{11} & +  0.01 x_{26} & +  0.17 x_{8} & +  0.04 x_{20} & +  0.64 x_{15}\\
 x_{27}   &  41.6068276248 & +  3.42 x_{1} & -8.93 x_{13} & +  0.29 x_{24} & +  0.62 x_{30} & +  0.36 x_{25} & +  0.21 x_{22} & +  0.63 x_{16} & +  0.40 x_{2} & +  0.17 x_{29} & -0.07 x_{21} & -1.04 x_{11} & -1.08 x_{26} & -11.40 x_{8} & +  0.58 x_{20} & -3.81 x_{15}\\
 x_{4}   &  2.48146769166 & -0.58 x_{1} & +  0.42 x_{13} & +  0.07 x_{24} & -0.05 x_{30} & -0.01 x_{25} & +  0.02 x_{22} & +  0.02 x_{16} & -1.81 x_{2} & -0.03 x_{29} & -0.01 x_{21} & -0.26 x_{11} & +  0.00 x_{26} & -0.87 x_{8} & -0.05 x_{20} & +  0.21 x_{15}\\
 x_{31}   &  31.1692600879 & -1.31 x_{1} & +  8.18 x_{13} & -0.09 x_{24} & -0.40 x_{30} & -0.11 x_{25} & +  0.25 x_{22} & -0.66 x_{16} & -16.53 x_{2} & +  0.34 x_{29} & +  0.23 x_{21} & +  2.47 x_{11} & +  0.45 x_{26} & + 14.88 x_{8} & -0.83 x_{20} & -12.46 x_{15}\\
 x_{19}   &  85.863712413 & + 14.66 x_{1} & -25.84 x_{13} & -2.12 x_{24} & +  1.00 x_{30} & -0.08 x_{25} & -0.67 x_{22} & -0.42 x_{16} & + 44.68 x_{2} & +  0.07 x_{29} & -0.12 x_{21} & +  8.58 x_{11} & +  0.00 x_{26} & +  5.93 x_{8} & +  0.73 x_{20} & -8.15 x_{15}\\
 x_{6}   &  2.49961283233 & -0.93 x_{1} & +  0.32 x_{13} & +  0.10 x_{24} & -0.05 x_{30} & -0.02 x_{25} & +  0.01 x_{22} & +  0.01 x_{16} & -1.14 x_{2} & -0.01 x_{29} & +  0.01 x_{21} & -0.59 x_{11} & -0.04 x_{26} & -0.45 x_{8} & -0.01 x_{20} & +  0.36 x_{15}\\
 x_{14}   &  5.38794140766 & -0.83 x_{1} & -0.58 x_{13} & -0.07 x_{24} & -0.03 x_{30} & -0.01 x_{25} & -0.05 x_{22} & -0.06 x_{16} & -0.18 x_{2} & +  0.05 x_{29} & -0.05 x_{21} & -0.24 x_{11} & +  0.06 x_{26} & +  0.01 x_{8} & -0.03 x_{20} & -0.13 x_{15}\\
\hline
z    &  76.611727057 & -11.97 x_{1} & -3.45 x_{13} & +  0.00 x_{24} & -0.27 x_{30} & -0.22 x_{25} & -0.16 x_{22} & -0.31 x_{16} & -9.96 x_{2} & +  0.12 x_{29} & -0.34 x_{21} & -11.60 x_{11} & -0.24 x_{26} & -10.61 x_{8} & -0.39 x_{20} & -4.12 x_{15}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{32}   &  93.6558731978 & -16.56 x_{1} & -23.82 x_{13} & +  0.26 x_{17} & -0.94 x_{30} & +  0.04 x_{25} & -0.36 x_{22} & -0.54 x_{16} & -28.93 x_{2} & +  0.47 x_{29} & -0.88 x_{21} & -1.16 x_{11} & -0.27 x_{26} & -12.57 x_{8} & -0.72 x_{20} & -1.66 x_{15}\\
 x_{12}   &  3.78776689982 & -0.80 x_{1} & -0.69 x_{13} & +  0.02 x_{17} & +  0.01 x_{30} & +  0.02 x_{25} & -0.03 x_{22} & +  0.01 x_{16} & -0.29 x_{2} & +  0.03 x_{29} & -0.02 x_{21} & -0.05 x_{11} & -0.04 x_{26} & -1.16 x_{8} & -0.04 x_{20} & -0.24 x_{15}\\
 x_{7}   &  0.731326658241 & +  0.34 x_{1} & +  0.59 x_{13} & -0.00 x_{17} & -0.01 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.03 x_{16} & +  0.11 x_{2} & +  0.01 x_{29} & +  0.05 x_{21} & +  0.14 x_{11} & +  0.04 x_{26} & +  0.77 x_{8} & -0.03 x_{20} & -0.67 x_{15}\\
 x_{28}   &  30.9431721049 & -13.00 x_{1} & -6.35 x_{13} & +  0.70 x_{17} & -0.33 x_{30} & +  0.44 x_{25} & +  0.02 x_{22} & -0.27 x_{16} & -16.90 x_{2} & +  0.26 x_{29} & -0.08 x_{21} & +  1.24 x_{11} & +  0.06 x_{26} & -6.89 x_{8} & -0.61 x_{20} & -7.59 x_{15}\\
 x_{24}   &  21.3636716308 & + 11.03 x_{1} & +  3.39 x_{13} & -0.76 x_{17} & -0.15 x_{30} & -0.80 x_{25} & +  0.07 x_{22} & -0.62 x_{16} & + 10.02 x_{2} & -0.16 x_{29} & +  0.04 x_{21} & -1.75 x_{11} & +  0.76 x_{26} & + 14.38 x_{8} & +  0.11 x_{20} & -1.74 x_{15}\\
 x_{18}   &  69.782923003 & -16.92 x_{1} & +  4.85 x_{13} & -0.95 x_{17} & -0.32 x_{30} & -0.83 x_{25} & -0.45 x_{22} & -0.58 x_{16} & -12.63 x_{2} & -0.21 x_{29} & -0.66 x_{21} & -3.81 x_{11} & +  0.75 x_{26} & +  3.93 x_{8} & -0.47 x_{20} & -1.48 x_{15}\\
 x_{23}   &  40.5427576113 & +  5.39 x_{1} & -8.17 x_{13} & -0.28 x_{17} & -0.32 x_{30} & -0.86 x_{25} & +  0.32 x_{22} & -0.28 x_{16} & +  5.86 x_{2} & -0.71 x_{29} & +  0.11 x_{21} & -7.22 x_{11} & -0.09 x_{26} & +  7.79 x_{8} & +  0.59 x_{20} & +  1.14 x_{15}\\
 x_{9}   &  2.36013333904 & -0.19 x_{1} & -0.61 x_{13} & +  0.05 x_{17} & -0.03 x_{30} & +  0.01 x_{25} & +  0.01 x_{22} & +  0.02 x_{16} & -0.41 x_{2} & +  0.04 x_{29} & -0.03 x_{21} & -0.07 x_{11} & -0.01 x_{26} & -0.92 x_{8} & +  0.01 x_{20} & +  0.30 x_{15}\\
 x_{3}   &  5.51459935485 & -0.10 x_{1} & -0.33 x_{13} & -0.00 x_{17} & +  0.03 x_{30} & -0.03 x_{25} & +  0.01 x_{22} & -0.02 x_{16} & +  0.29 x_{2} & +  0.01 x_{29} & -0.02 x_{21} & -0.75 x_{11} & -0.02 x_{26} & -0.31 x_{8} & -0.02 x_{20} & -0.30 x_{15}\\
 x_{10}   &  3.19877292337 & +  0.20 x_{1} & +  0.11 x_{13} & +  0.00 x_{17} & -0.05 x_{30} & -0.02 x_{25} & +  0.01 x_{22} & -0.04 x_{16} & -0.32 x_{2} & -0.02 x_{29} & +  0.04 x_{21} & +  0.09 x_{11} & +  0.00 x_{26} & +  0.29 x_{8} & -0.01 x_{20} & -0.53 x_{15}\\
 x_{5}   &  1.02744711285 & +  0.49 x_{1} & -0.38 x_{13} & +  0.03 x_{17} & +  0.02 x_{30} & -0.00 x_{25} & -0.04 x_{22} & +  0.01 x_{16} & +  0.56 x_{2} & -0.03 x_{29} & -0.00 x_{21} & +  0.18 x_{11} & -0.01 x_{26} & -0.32 x_{8} & +  0.03 x_{20} & +  0.70 x_{15}\\
 x_{27}   &  47.8848137578 & +  6.66 x_{1} & -7.93 x_{13} & -0.22 x_{17} & +  0.57 x_{30} & +  0.12 x_{25} & +  0.23 x_{22} & +  0.44 x_{16} & +  3.34 x_{2} & +  0.12 x_{29} & -0.05 x_{21} & -1.56 x_{11} & -0.86 x_{26} & -7.17 x_{8} & +  0.61 x_{20} & -4.32 x_{15}\\
 x_{4}   &  3.88334787655 & +  0.15 x_{1} & +  0.64 x_{13} & -0.05 x_{17} & -0.06 x_{30} & -0.07 x_{25} & +  0.02 x_{22} & -0.02 x_{16} & -1.15 x_{2} & -0.04 x_{29} & -0.01 x_{21} & -0.37 x_{11} & +  0.05 x_{26} & +  0.07 x_{8} & -0.05 x_{20} & +  0.10 x_{15}\\
 x_{31}   &  29.1576862687 & -2.35 x_{1} & +  7.86 x_{13} & +  0.07 x_{17} & -0.39 x_{30} & -0.04 x_{25} & +  0.24 x_{22} & -0.60 x_{16} & -17.48 x_{2} & +  0.36 x_{29} & +  0.23 x_{21} & +  2.63 x_{11} & +  0.37 x_{26} & + 13.52 x_{8} & -0.84 x_{20} & -12.30 x_{15}\\
 x_{19}   &  40.6368178383 & -8.69 x_{1} & -33.02 x_{13} & +  1.62 x_{17} & +  1.31 x_{30} & +  1.62 x_{25} & -0.82 x_{22} & +  0.89 x_{16} & + 23.47 x_{2} & +  0.42 x_{29} & -0.21 x_{21} & + 12.29 x_{11} & -1.61 x_{26} & -24.53 x_{8} & +  0.49 x_{20} & -4.46 x_{15}\\
 x_{6}   &  4.62129439941 & +  0.16 x_{1} & +  0.65 x_{13} & -0.08 x_{17} & -0.06 x_{30} & -0.10 x_{25} & +  0.01 x_{22} & -0.05 x_{16} & -0.15 x_{2} & -0.02 x_{29} & +  0.02 x_{21} & -0.77 x_{11} & +  0.04 x_{26} & +  0.97 x_{8} & -0.00 x_{20} & +  0.19 x_{15}\\
 x_{14}   &  3.99693414863 & -1.55 x_{1} & -0.80 x_{13} & +  0.05 x_{17} & -0.02 x_{30} & +  0.04 x_{25} & -0.05 x_{22} & -0.02 x_{16} & -0.83 x_{2} & +  0.06 x_{29} & -0.06 x_{21} & -0.12 x_{11} & +  0.01 x_{26} & -0.93 x_{8} & -0.03 x_{20} & -0.01 x_{15}\\
\hline
z    &  76.6831414424 & -11.94 x_{1} & -3.43 x_{13} & -0.00 x_{17} & -0.27 x_{30} & -0.22 x_{25} & -0.16 x_{22} & -0.31 x_{16} & -9.92 x_{2} & +  0.12 x_{29} & -0.34 x_{21} & -11.61 x_{11} & -0.24 x_{26} & -10.57 x_{8} & -0.39 x_{20} & -4.12 x_{15}\\
\end{array}\]


 $ x_{29} $ enters and $ x_{5} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{32}   &  111.649515913 & -7.98 x_{1} & -30.40 x_{13} & +  0.72 x_{17} & -0.59 x_{30} & +  0.02 x_{25} & -1.01 x_{22} & -0.28 x_{16} & -19.20 x_{2} & -17.51 x_{5} & -0.90 x_{21} & +  2.01 x_{11} & -0.53 x_{26} & -18.23 x_{8} & -0.12 x_{20} & + 10.64 x_{15}\\
 x_{12}   &  4.81826339294 & -0.31 x_{1} & -1.07 x_{13} & +  0.04 x_{17} & +  0.03 x_{30} & +  0.01 x_{25} & -0.07 x_{22} & +  0.03 x_{16} & +  0.27 x_{2} & -1.00 x_{5} & -0.02 x_{21} & +  0.13 x_{11} & -0.05 x_{26} & -1.49 x_{8} & -0.01 x_{20} & +  0.47 x_{15}\\
 x_{7}   &  1.16066740231 & +  0.54 x_{1} & +  0.43 x_{13} & +  0.01 x_{17} & -0.00 x_{30} & -0.03 x_{25} & -0.01 x_{22} & -0.02 x_{16} & +  0.34 x_{2} & -0.42 x_{5} & +  0.04 x_{21} & +  0.22 x_{11} & +  0.03 x_{26} & +  0.64 x_{8} & -0.01 x_{20} & -0.38 x_{15}\\
 x_{28}   &  40.8721760059 & -8.27 x_{1} & -9.99 x_{13} & +  0.95 x_{17} & -0.14 x_{30} & +  0.43 x_{25} & -0.34 x_{22} & -0.12 x_{16} & -11.53 x_{2} & -9.66 x_{5} & -0.09 x_{21} & +  2.99 x_{11} & -0.08 x_{26} & -10.01 x_{8} & -0.28 x_{20} & -0.80 x_{15}\\
 x_{24}   &  15.146155781 & +  8.07 x_{1} & +  5.67 x_{13} & -0.92 x_{17} & -0.27 x_{30} & -0.79 x_{25} & +  0.29 x_{22} & -0.71 x_{16} & +  6.66 x_{2} & +  6.05 x_{5} & +  0.05 x_{21} & -2.85 x_{11} & +  0.85 x_{26} & + 16.34 x_{8} & -0.10 x_{20} & -5.99 x_{15}\\
 x_{18}   &  61.7801509244 & -20.74 x_{1} & +  7.77 x_{13} & -1.15 x_{17} & -0.48 x_{30} & -0.82 x_{25} & -0.16 x_{22} & -0.70 x_{16} & -16.95 x_{2} & +  7.79 x_{5} & -0.65 x_{21} & -5.23 x_{11} & +  0.87 x_{26} & +  6.44 x_{8} & -0.73 x_{20} & -6.95 x_{15}\\
 x_{23}   &  13.4127063209 & -7.54 x_{1} & +  1.76 x_{13} & -0.96 x_{17} & -0.84 x_{30} & -0.82 x_{25} & +  1.29 x_{22} & -0.67 x_{16} & -8.79 x_{2} & + 26.41 x_{5} & +  0.13 x_{21} & -12.01 x_{11} & +  0.30 x_{26} & + 16.32 x_{8} & -0.31 x_{20} & -17.41 x_{15}\\
 x_{9}   &  3.87620270774 & +  0.53 x_{1} & -1.16 x_{13} & +  0.08 x_{17} & -0.01 x_{30} & +  0.01 x_{25} & -0.05 x_{22} & +  0.04 x_{16} & +  0.40 x_{2} & -1.48 x_{5} & -0.03 x_{21} & +  0.20 x_{11} & -0.03 x_{26} & -1.40 x_{8} & +  0.06 x_{20} & +  1.34 x_{15}\\
 x_{3}   &  5.77736321489 & +  0.03 x_{1} & -0.43 x_{13} & +  0.00 x_{17} & +  0.03 x_{30} & -0.03 x_{25} & -0.00 x_{22} & -0.02 x_{16} & +  0.43 x_{2} & -0.26 x_{5} & -0.02 x_{21} & -0.71 x_{11} & -0.03 x_{26} & -0.40 x_{8} & -0.01 x_{20} & -0.12 x_{15}\\
 x_{10}   &  2.31901389082 & -0.22 x_{1} & +  0.43 x_{13} & -0.02 x_{17} & -0.07 x_{30} & -0.02 x_{25} & +  0.04 x_{22} & -0.05 x_{16} & -0.79 x_{2} & +  0.86 x_{5} & +  0.04 x_{21} & -0.06 x_{11} & +  0.02 x_{26} & +  0.57 x_{8} & -0.04 x_{20} & -1.13 x_{15}\\
 x_{29}   &  38.266496329 & + 18.24 x_{1} & -14.00 x_{13} & +  0.97 x_{17} & +  0.74 x_{30} & -0.05 x_{25} & -1.37 x_{22} & +  0.56 x_{16} & + 20.68 x_{2} & -37.24 x_{5} & -0.03 x_{21} & +  6.75 x_{11} & -0.55 x_{26} & -12.03 x_{8} & +  1.27 x_{20} & + 26.16 x_{15}\\
 x_{27}   &  52.6498396721 & +  8.93 x_{1} & -9.68 x_{13} & -0.10 x_{17} & +  0.67 x_{30} & +  0.12 x_{25} & +  0.06 x_{22} & +  0.51 x_{16} & +  5.92 x_{2} & -4.64 x_{5} & -0.06 x_{21} & -0.71 x_{11} & -0.93 x_{26} & -8.67 x_{8} & +  0.77 x_{20} & -1.06 x_{15}\\
 x_{4}   &  2.3808852473 & -0.57 x_{1} & +  1.19 x_{13} & -0.09 x_{17} & -0.09 x_{30} & -0.06 x_{25} & +  0.08 x_{22} & -0.04 x_{16} & -1.97 x_{2} & +  1.46 x_{5} & -0.01 x_{21} & -0.64 x_{11} & +  0.07 x_{26} & +  0.54 x_{8} & -0.10 x_{20} & -0.93 x_{15}\\
 x_{31}   &  42.7726556588 & +  4.14 x_{1} & +  2.88 x_{13} & +  0.42 x_{17} & -0.12 x_{30} & -0.05 x_{25} & -0.24 x_{22} & -0.40 x_{16} & -10.12 x_{2} & -13.25 x_{5} & +  0.22 x_{21} & +  5.04 x_{11} & +  0.18 x_{26} & +  9.24 x_{8} & -0.39 x_{20} & -2.99 x_{15}\\
 x_{19}   &  56.5606414691 & -1.10 x_{1} & -38.85 x_{13} & +  2.02 x_{17} & +  1.62 x_{30} & +  1.60 x_{25} & -1.39 x_{22} & +  1.12 x_{16} & + 32.08 x_{2} & -15.50 x_{5} & -0.22 x_{21} & + 15.10 x_{11} & -1.84 x_{26} & -29.53 x_{8} & +  1.02 x_{20} & +  6.43 x_{15}\\
 x_{6}   &  3.78376959611 & -0.24 x_{1} & +  0.96 x_{13} & -0.10 x_{17} & -0.08 x_{30} & -0.10 x_{25} & +  0.04 x_{22} & -0.06 x_{16} & -0.60 x_{2} & +  0.82 x_{5} & +  0.02 x_{21} & -0.91 x_{11} & +  0.05 x_{26} & +  1.24 x_{8} & -0.03 x_{20} & -0.38 x_{15}\\
 x_{14}   &  6.13188103957 & -0.53 x_{1} & -1.58 x_{13} & +  0.10 x_{17} & +  0.02 x_{30} & +  0.04 x_{25} & -0.13 x_{22} & +  0.01 x_{16} & +  0.32 x_{2} & -2.08 x_{5} & -0.06 x_{21} & +  0.25 x_{11} & -0.02 x_{26} & -1.60 x_{8} & +  0.04 x_{20} & +  1.45 x_{15}\\
\hline
z    &  81.1373231585 & -9.81 x_{1} & -5.06 x_{13} & +  0.11 x_{17} & -0.18 x_{30} & -0.23 x_{25} & -0.32 x_{22} & -0.25 x_{16} & -7.52 x_{2} & -4.34 x_{5} & -0.34 x_{21} & -10.82 x_{11} & -0.30 x_{26} & -11.97 x_{8} & -0.24 x_{20} & -1.08 x_{15}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{32}   &  121.639938161 & -13.60 x_{1} & -29.09 x_{13} & -0.74 x_{23} & -1.22 x_{30} & -0.59 x_{25} & -0.04 x_{22} & -0.78 x_{16} & -25.76 x_{2} & +  2.15 x_{5} & -0.80 x_{21} & -6.93 x_{11} & -0.30 x_{26} & -6.07 x_{8} & -0.35 x_{20} & -2.33 x_{15}\\
 x_{12}   &  5.40389732295 & -0.64 x_{1} & -0.99 x_{13} & -0.04 x_{23} & -0.01 x_{30} & -0.02 x_{25} & -0.02 x_{22} & -0.00 x_{16} & -0.12 x_{2} & +  0.15 x_{5} & -0.02 x_{21} & -0.39 x_{11} & -0.04 x_{26} & -0.77 x_{8} & -0.02 x_{20} & -0.29 x_{15}\\
 x_{7}   &  1.27284659345 & +  0.48 x_{1} & +  0.45 x_{13} & -0.01 x_{23} & -0.01 x_{30} & -0.04 x_{25} & +  0.00 x_{22} & -0.03 x_{16} & +  0.27 x_{2} & -0.20 x_{5} & +  0.05 x_{21} & +  0.12 x_{11} & +  0.04 x_{26} & +  0.77 x_{8} & -0.01 x_{20} & -0.52 x_{15}\\
 x_{28}   &  54.1297188282 & -15.72 x_{1} & -8.25 x_{13} & -0.99 x_{23} & -0.97 x_{30} & -0.39 x_{25} & +  0.94 x_{22} & -0.79 x_{16} & -20.23 x_{2} & + 16.44 x_{5} & +  0.04 x_{21} & -8.88 x_{11} & +  0.22 x_{26} & +  6.13 x_{8} & -0.58 x_{20} & -18.01 x_{15}\\
 x_{24}   &  2.30869872675 & + 15.28 x_{1} & +  3.98 x_{13} & +  0.96 x_{23} & +  0.54 x_{30} & -0.00 x_{25} & -0.95 x_{22} & -0.07 x_{16} & + 15.07 x_{2} & -19.22 x_{5} & -0.08 x_{21} & +  8.65 x_{11} & +  0.56 x_{26} & +  0.72 x_{8} & +  0.20 x_{20} & + 10.67 x_{15}\\
 x_{18}   &  45.6890888183 & -11.69 x_{1} & +  5.66 x_{13} & +  1.20 x_{23} & +  0.54 x_{30} & +  0.17 x_{25} & -1.72 x_{22} & +  0.11 x_{16} & -6.40 x_{2} & -23.89 x_{5} & -0.81 x_{21} & +  9.18 x_{11} & +  0.51 x_{26} & -13.14 x_{8} & -0.36 x_{20} & + 13.94 x_{15}\\
 x_{17}   &  13.9359490878 & -7.83 x_{1} & +  1.83 x_{13} & -1.04 x_{23} & -0.88 x_{30} & -0.85 x_{25} & +  1.34 x_{22} & -0.70 x_{16} & -9.14 x_{2} & + 27.44 x_{5} & +  0.14 x_{21} & -12.48 x_{11} & +  0.31 x_{26} & + 16.96 x_{8} & -0.32 x_{20} & -18.09 x_{15}\\
 x_{9}   &  5.045167415 & -0.12 x_{1} & -1.01 x_{13} & -0.09 x_{23} & -0.08 x_{30} & -0.06 x_{25} & +  0.07 x_{22} & -0.01 x_{16} & -0.36 x_{2} & +  0.83 x_{5} & -0.02 x_{21} & -0.85 x_{11} & -0.01 x_{26} & +  0.02 x_{8} & +  0.03 x_{20} & -0.18 x_{15}\\
 x_{3}   &  5.82994595307 & -0.00 x_{1} & -0.42 x_{13} & -0.00 x_{23} & +  0.03 x_{30} & -0.04 x_{25} & +  0.00 x_{22} & -0.02 x_{16} & +  0.40 x_{2} & -0.15 x_{5} & -0.02 x_{21} & -0.75 x_{11} & -0.03 x_{26} & -0.33 x_{8} & -0.01 x_{20} & -0.19 x_{15}\\
 x_{10}   &  2.06247459041 & -0.08 x_{1} & +  0.39 x_{13} & +  0.02 x_{23} & -0.06 x_{30} & -0.01 x_{25} & +  0.02 x_{22} & -0.04 x_{16} & -0.62 x_{2} & +  0.35 x_{5} & +  0.03 x_{21} & +  0.17 x_{11} & +  0.01 x_{26} & +  0.26 x_{8} & -0.03 x_{20} & -0.79 x_{15}\\
 x_{29}   &  51.7587096179 & + 10.66 x_{1} & -12.23 x_{13} & -1.01 x_{23} & -0.11 x_{30} & -0.87 x_{25} & -0.07 x_{22} & -0.12 x_{16} & + 11.83 x_{2} & -10.68 x_{5} & +  0.10 x_{21} & -5.33 x_{11} & -0.24 x_{26} & +  4.38 x_{8} & +  0.96 x_{20} & +  8.65 x_{15}\\
 x_{27}   &  51.2016767941 & +  9.75 x_{1} & -9.87 x_{13} & +  0.11 x_{23} & +  0.76 x_{30} & +  0.21 x_{25} & -0.08 x_{22} & +  0.59 x_{16} & +  6.87 x_{2} & -7.49 x_{5} & -0.07 x_{21} & +  0.58 x_{11} & -0.96 x_{26} & -10.43 x_{8} & +  0.81 x_{20} & +  0.82 x_{15}\\
 x_{4}   &  1.15259925421 & +  0.12 x_{1} & +  1.03 x_{13} & +  0.09 x_{23} & -0.01 x_{30} & +  0.01 x_{25} & -0.04 x_{22} & +  0.02 x_{16} & -1.16 x_{2} & -0.96 x_{5} & -0.02 x_{21} & +  0.46 x_{11} & +  0.05 x_{26} & -0.95 x_{8} & -0.07 x_{20} & +  0.66 x_{15}\\
 x_{31}   &  48.5754391208 & +  0.88 x_{1} & +  3.64 x_{13} & -0.43 x_{23} & -0.49 x_{30} & -0.41 x_{25} & +  0.32 x_{22} & -0.69 x_{16} & -13.93 x_{2} & -1.83 x_{5} & +  0.28 x_{21} & -0.16 x_{11} & +  0.31 x_{26} & + 16.30 x_{8} & -0.53 x_{20} & -10.52 x_{15}\\
 x_{19}   &  84.7111483809 & -16.93 x_{1} & -35.15 x_{13} & -2.10 x_{23} & -0.15 x_{30} & -0.13 x_{25} & +  1.33 x_{22} & -0.28 x_{16} & + 13.62 x_{2} & + 39.92 x_{5} & +  0.06 x_{21} & -10.11 x_{11} & -1.21 x_{26} & +  4.72 x_{8} & +  0.37 x_{20} & -30.11 x_{15}\\
 x_{6}   &  2.43126302304 & +  0.52 x_{1} & +  0.78 x_{13} & +  0.10 x_{23} & +  0.01 x_{30} & -0.02 x_{25} & -0.09 x_{22} & +  0.01 x_{16} & +  0.29 x_{2} & -1.85 x_{5} & +  0.01 x_{21} & +  0.30 x_{11} & +  0.02 x_{26} & -0.41 x_{8} & +  0.00 x_{20} & +  1.37 x_{15}\\
 x_{14}   &  7.57775399468 & -1.34 x_{1} & -1.39 x_{13} & -0.11 x_{23} & -0.07 x_{30} & -0.05 x_{25} & +  0.01 x_{22} & -0.07 x_{16} & -0.63 x_{2} & +  0.77 x_{5} & -0.04 x_{21} & -1.04 x_{11} & +  0.01 x_{26} & +  0.16 x_{8} & +  0.00 x_{20} & -0.43 x_{15}\\
\hline
z    &  82.6722183294 & -10.68 x_{1} & -4.86 x_{13} & -0.11 x_{23} & -0.28 x_{30} & -0.32 x_{25} & -0.17 x_{22} & -0.32 x_{16} & -8.52 x_{2} & -1.31 x_{5} & -0.33 x_{21} & -12.20 x_{11} & -0.27 x_{26} & -10.10 x_{8} & -0.27 x_{20} & -3.07 x_{15}\\
\end{array}\]
Final Dictionary
Solution:  82.6722183294
Num Pivots:  31
\end{document}
